* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 128 additional inputs, on iter 1 have 128 / 256 * * * * [misc]points: Computing exacts on every 8 of 128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 128 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 73 additional inputs, on iter 2 have 183 / 256 * * * * [misc]points: Computing exacts on every 4 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 73 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 38 additional inputs, on iter 3 have 218 / 256 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 38 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 4 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos 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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ a (- (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ a (- (acos 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 (- (acos a)) in 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ a (- (acos 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 (- (acos a)) in 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 a) (- (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (- (acos (/ 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 (- (acos (/ 1 a))) in 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (- (acos (/ 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 (- (acos (/ 1 a))) in 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (- (acos (/ 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 (- (acos (/ 1 (- a)))) in 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ -1 (- (acos (/ -1 a)))) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (- (acos (/ 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 (- (acos (/ 1 (- a)))) in 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ -1 (- (acos (/ -1 a)))) into (/ 1 (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (cbrt (- (acos a))))) * * * * [misc]progress: [ 12 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- (acos a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (sqrt (- (acos a)))) (sqrt (- (acos a))))) * * * * [misc]progress: [ 13 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (acos a)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a 1) (- (acos a)))) * * * * [misc]progress: [ 14 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (acos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (acos a) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a -1) (acos a))) * * * * [misc]progress: [ 15 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (acos a)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (cbrt (acos a)))) * * * * [misc]progress: [ 16 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (- (sqrt (acos a)))) (sqrt (acos a)))) * * * * [misc]progress: [ 17 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (acos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (acos a) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (- 1)) (acos a))) * * * * [misc]progress: [ 18 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (cbrt (acos a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (- (cbrt (acos a))))) * * * * [misc]progress: [ 19 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (sqrt (acos a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a (sqrt (acos a))) (- (sqrt (acos a))))) * * * * [misc]progress: [ 20 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (acos a)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ a 1) (- (acos a)))) * * * * [misc]progress: [ 21 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * [misc]simplify: Simplified (2) to (λ (a) (/ (- a) (acos a))) * * * * [misc]progress: [ 22 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * [misc]simplify: Simplified (2) to (λ (a) (/ (- a) (acos a))) * * * * [misc]progress: [ 23 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * [misc]simplify: Simplified (2) to (λ (a) (/ (- a) (acos 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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos a))) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos a))) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) 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 (- 1) into -1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) 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 (- 1) into -1 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) 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 (- 1) into -1 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (acos a)) a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (* -1 (acos a)) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) * [misc]approximate: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (* -1 (acos (/ 1 a))) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) * [misc]approximate: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 1) into -1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 1) into -1 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 1) into -1 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2) to (λ (a) (pow (/ (- (acos a)) a) -1)) * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (- (/ (acos a) a))))) * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (acos a) a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (sqrt (/ (- (acos a)) a))) (sqrt (- (/ (acos a) a))))) * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (acos a)) a) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 1) (- (/ (acos a) a)))) * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (- (acos a))) (/ 1 a))) * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (- 0 (/ (acos a) a)))) * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos a) a) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (- (/ (acos a) a)))) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a))))))) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- (acos a))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ (sqrt (- (acos a))) (/ a (sqrt (- (acos a))))))) * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (acos a)) (cbrt (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (acos a)) (- (cbrt (acos a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ (* (cbrt (acos a)) (- (cbrt (acos a)))) (/ a (cbrt (acos a)))))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (sqrt (acos a))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ (- (sqrt (acos a))) (/ a (sqrt (acos a)))))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ -1 (/ a (acos a))))) * * * * [misc]progress: [ 38 / 46 ] 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (/ a (- (cbrt (acos a))))))) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ 1 (/ (sqrt (acos a)) (/ a (- (sqrt (acos a))))))) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * [misc]simplify: Simplified (2) to (λ (a) (/ (- a) (acos a))) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * [misc]simplify: Simplified (2) to (λ (a) (/ (- a) (acos a))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * [misc]simplify: Simplified (2) to (λ (a) (/ (- a) (acos a))) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ (acos a) a)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (acos a) (/ a -1)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ 1 (/ (acos a) (/ a -1)))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ (acos a) a)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (acos a) (/ a -1)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ 1 (/ (acos a) (/ a -1)))) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ (acos a) a)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (acos a) (/ a -1)) * [misc]simplify: Simplified (2 2) to (λ (a) (/ 1 (/ (acos a) (/ a -1)))) * * * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 (/ 1 a))))) (log (/ 1 a))))) into (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 (/ 1 a))))) (log (/ 1 a))))) into (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 (/ 1 a))))) (log (/ 1 a))))) into (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))) into (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) into (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) into (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) (cbrt (/ (- (acos (/ 1 a))) (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) (cbrt (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) (cbrt (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into (pow (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 2) into (pow (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 0) (* 0 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (+ (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (+ (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (+ (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (* -1 (acos (/ 1 (/ 1 a))))) (log (/ 1 a))))) 2) into (pow (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))) into (pow (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 2) into (pow (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))))))) 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 (- 1) into -1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))))))) 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 (- 1) into -1 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))))))))) 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 (- 1) into -1 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) 2) into (pow (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (* (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (cbrt (cbrt (/ (- (acos a)) a)))))) * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (* (cbrt (sqrt (- (/ (acos a) a)))) (cbrt (sqrt (/ (- (acos a)) a)))))) * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (* 1 (cbrt (/ (- (acos a)) a))))) * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (* (cbrt (- (acos a))) (cbrt (/ 1 a))))) * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt (- (acos a))) (cbrt a)))) * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (* (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (cbrt (cbrt (/ (- (acos a)) a)))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (* (cbrt (sqrt (- (/ (acos a) a)))) (cbrt (sqrt (/ (- (acos a)) a)))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (* 1 (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (* (cbrt (- (acos a))) (cbrt (/ 1 a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (/ (cbrt (- (acos a))) (cbrt a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (* (* (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (cbrt (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (* (* (cbrt (sqrt (- (/ (acos a) a)))) (cbrt (sqrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (* (* 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (* (* (cbrt (- (acos a))) (cbrt (/ 1 a))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (acos a)) a) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (pow (- (/ (acos a) a)) (+ 1/3 1/3))) (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (pow (/ (- (acos a)) a) 2/3)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (pow (cbrt (- (/ (acos a) a))) (+ 1 1))) (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (pow (cbrt (/ (- (acos a)) a)) 2)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (acos a)) a) (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (pow (* (/ (acos a) a) (/ (acos a) a)) 1/3)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (pow (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) 1)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (pow (cbrt (- (/ (acos a) a))) (+ 1 1))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (- (acos a)) a))) (log (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (- (/ (acos a) a)))) (log (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (exp (+ (log (cbrt (- (/ (acos a) a)))) (log (cbrt (- (/ (acos a) a))))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (acos a)) a) (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (cbrt (* (/ (acos a) a) (/ (acos a) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (* (cbrt a) (cbrt a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cbrt a) (cbrt a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) (cbrt (cbrt (- (/ (acos a) a)))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) (cbrt (sqrt (/ (- (acos a)) a)))) (cbrt (sqrt (- (/ (acos a) a)))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) (cbrt 1)) (cbrt (- (/ (acos a) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) (cbrt (- (acos a)))) (cbrt (/ 1 a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a))))) (cbrt (cbrt (- (/ (acos a) a)))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) (sqrt (cbrt (/ (- (acos a)) a)))) (sqrt (cbrt (- (/ (acos a) a)))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (* (cbrt (/ (- (acos a)) a)) 1) (cbrt (- (/ (acos a) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (cbrt (sqrt (- (/ (acos a) a)))) (* (cbrt (sqrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (cbrt (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (acos a) a)))) (cbrt (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (* (cbrt (cbrt (- (/ (acos a) a)))) (cbrt (cbrt (- (/ (acos a) a))))) (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (sqrt (cbrt (- (/ (acos a) a)))) (* (sqrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (/ (- (acos a)) a)) (cbrt (- (acos a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (/ (acos a) a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (/ -1 a) (acos a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (* (/ -1 a) (acos a))))) * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (* (acos a) (/ -1 a))))) * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (* (acos a) (/ -1 a))))) * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (/ -1 a) (acos a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (* (/ -1 a) (acos a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (* (acos a) (/ -1 a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (* (acos a) (/ -1 a))))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (/ -1 a) (acos a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (cbrt (* (/ -1 a) (acos a))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (cbrt (* (acos a) (/ -1 a))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a) (/ (/ 1 (* (cbrt (* (acos a) (/ -1 a))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (pow (/ (- (acos a)) (exp (log a))) 2/3) * [misc]simplify: Simplified (2 1 2) to (λ (a) (/ (/ 1 (pow (/ (- (acos a)) (exp (log a))) 2/3)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (pow (* (acos a) (/ -1 a)) 2/3) * [misc]simplify: Simplified (2 1 2) to (λ (a) (/ (/ 1 (pow (* (acos a) (/ -1 a)) 2/3)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (pow (* (/ -1 a) (acos a)) 2/3) * [misc]simplify: Simplified (2 1 2) to (λ (a) (/ (/ 1 (pow (* (/ -1 a) (acos a)) 2/3)) (cbrt (/ (- (acos a)) a)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 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 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt a) in a * [misc]taylor: Rewrote expression to (pow a 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]taylor: Taking taylor expansion of (cbrt a) in a * [misc]taylor: Rewrote expression to (pow a 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]backup-simplify: Simplify (pow a 1/3) into (pow a 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 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 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 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 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 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 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 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 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 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 (pow a 1/3) into (pow a 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 a)) in a * [misc]taylor: Rewrote expression to (pow (/ 1 a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 a)) in a * [misc]taylor: Rewrote expression to (pow (/ 1 a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]backup-simplify: Simplify (pow a -1/3) into (pow a -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log 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 (pow (/ 1 a) -1/3) into (pow (/ 1 a) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- a))) in a * [misc]taylor: Rewrote expression to (pow (/ 1 (- a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- a))) in a * [misc]taylor: Rewrote expression to (pow (/ 1 (- a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log 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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log 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 (- 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log 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 (- 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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log 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 (exp (* 1/3 (- (log -1) (log (/ 1 (- a)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 a))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (acos a))) in a * [misc]taylor: Rewrote expression to (pow (- (acos a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (acos a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (acos a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (acos a))) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (log (- (acos a))) into (log (- (acos a))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (acos a)))) into (* 1/3 (log (- (acos a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (acos a))))) into (pow (- (acos a)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos a))) in a * [misc]taylor: Rewrote expression to (pow (- (acos a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (acos a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (acos a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (acos a))) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (log (- (acos a))) into (log (- (acos a))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (acos a)))) into (* 1/3 (log (- (acos a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (acos a))))) into (pow (- (acos a)) 1/3) * [misc]backup-simplify: Simplify (pow (- (acos a)) 1/3) into (pow (- (acos a)) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (acos a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos a))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos a))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos 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 (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos 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 (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos 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 (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos 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 (pow (- (acos a)) 1/3) into (pow (- (acos a)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (pow (- (acos (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (acos (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (acos (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (acos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (- (acos (/ 1 a)))) into (log (- (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (acos (/ 1 a))))) into (* 1/3 (log (- (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (acos (/ 1 a)))))) into (pow (- (acos (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (pow (- (acos (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (acos (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (acos (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (acos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (- (acos (/ 1 a)))) into (log (- (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (acos (/ 1 a))))) into (* 1/3 (log (- (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (acos (/ 1 a)))))) into (pow (- (acos (/ 1 a))) 1/3) * [misc]backup-simplify: Simplify (pow (- (acos (/ 1 a))) 1/3) into (pow (- (acos (/ 1 a))) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (acos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ 1 a)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ 1 a)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ 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 (- 0) into 0 * [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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ 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 (- 0) into 0 * [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 (- (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 (- (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 (- (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 (- (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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ 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 (- 0) into 0 * [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 (- (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 (- (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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ 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 (pow (- (acos (/ 1 (/ 1 a)))) 1/3) into (pow (- (acos a)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (pow (- (acos (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (acos (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (acos (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (acos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (log (- (acos (/ -1 a)))) into (log (- (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (acos (/ -1 a))))) into (* 1/3 (log (- (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (acos (/ -1 a)))))) into (pow (- (acos (/ -1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (pow (- (acos (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (acos (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (acos (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (acos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (log (- (acos (/ -1 a)))) into (log (- (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (acos (/ -1 a))))) into (* 1/3 (log (- (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (acos (/ -1 a)))))) into (pow (- (acos (/ -1 a))) 1/3) * [misc]backup-simplify: Simplify (pow (- (acos (/ -1 a))) 1/3) into (pow (- (acos (/ -1 a))) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (acos (/ -1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (acos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ -1 a)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (acos (/ -1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (acos (/ -1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ -1 a)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (acos (/ -1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (acos (/ -1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (acos (/ -1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ -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 (- 0) into 0 * [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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (acos (/ -1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (acos (/ -1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (acos (/ -1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (acos (/ -1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (acos (/ -1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ -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 (- 0) into 0 * [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 (- (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 (- (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 (- (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 (- (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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (acos (/ -1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (acos (/ -1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (acos (/ -1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (acos (/ -1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (acos (/ -1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (acos (/ -1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (acos (/ -1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ -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 (- 0) into 0 * [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 (- (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 (- (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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (acos (/ -1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (acos (/ -1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (acos (/ -1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (acos (/ -1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (acos (/ -1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (acos (/ -1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (acos (/ -1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (acos (/ -1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (acos (/ -1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (acos (/ -1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (acos (/ -1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (acos (/ -1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (acos (/ -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 (pow (- (acos (/ -1 (/ 1 (- a))))) 1/3) into (pow (- (acos a)) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 (/ 1 a))))) (log (/ 1 a))))) into (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log 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 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [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 (/ 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]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 (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) into (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log (* -1 (acos (/ 1 a)))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* -1 (acos (/ 1 a)))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (acos (/ 1 a)))) (log 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 (exp (* 1/3 (+ (log (* -1 (acos (/ 1 (/ 1 a))))) (log (/ 1 a))))) into (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [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 (/ 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]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 (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 1) into -1 * [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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (- 0) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log 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 (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (acos a))) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (acos a))) (cbrt (- (acos a))))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (cbrt (cbrt (- (acos a))))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (acos a)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt (sqrt (- (acos a)))) (cbrt (sqrt (- (acos a))))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* 1 (cbrt (- (acos a)))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt -1) (cbrt (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cbrt (acos a)) (cbrt (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cbrt (acos a))) (cbrt (acos a)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt (* (- (cbrt (acos a))) (cbrt (acos a)))) (cbrt (cbrt (acos a)))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (acos a)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt (- (sqrt (acos a)))) (cbrt (sqrt (acos a)))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt -1) (cbrt (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (acos a)) (cbrt (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (acos a)) (cbrt (acos a)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt (* (cbrt (acos a)) (cbrt (acos a)))) (cbrt (- (cbrt (acos a))))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (acos a))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* (cbrt (sqrt (acos a))) (cbrt (- (sqrt (acos a))))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a) (/ (/ 1 (/ (* (* 1 (cbrt (- (acos a)))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (* (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (cbrt (cbrt (/ (- (acos a)) a)))))) * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (* (cbrt (sqrt (- (/ (acos a) a)))) (cbrt (sqrt (/ (- (acos a)) a)))))) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (* 1 (cbrt (/ (- (acos a)) a))))) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (* (cbrt (- (acos a))) (cbrt (/ 1 a))))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (* (cbrt (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (cbrt (cbrt (/ (- (acos a)) a))))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (acos a) a)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (* (cbrt (sqrt (- (/ (acos a) a)))) (cbrt (sqrt (/ (- (acos a)) a))))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (* 1 (cbrt (/ (- (acos a)) a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (* (cbrt (- (acos a))) (cbrt (/ 1 a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (/ (cbrt (- (acos a))) (cbrt a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (pow a 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt a) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 a) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 a) -1/3) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (pow (/ 1 a) -1/3))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt a) * [misc]simplify: Simplified (2 1 2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (acos a)) 1/3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (acos a)) 1/3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (acos a)) 1/3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (/ -1 a) (acos a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (* (/ -1 a) (acos a))))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (* (acos a) (/ -1 a))))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) (cbrt a))) (cbrt (* (acos a) (/ -1 a))))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (/ -1 a) (acos a))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (* (/ -1 a) (acos a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (* (acos a) (/ -1 a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 a)) (log (acos a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (acos a) (/ -1 a))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a) (/ (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (* (acos a) (/ -1 a)))) (cbrt a))) (cbrt (/ (- (acos a)) a)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (a (/ a (- (acos a)))) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # # #) * * * [misc]regime: Found split indices: #