* [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 122 additional inputs, on iter 1 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 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 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 122 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 55 additional inputs, on iter 2 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 55 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 28 additional inputs, on iter 3 have 228 / 256 * * * * [misc]points: Computing exacts for 28 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 20 additional inputs, on iter 4 have 236 / 256 * * * * [misc]points: Computing exacts for 20 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 253 / 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 # * [enter]simplify: Simplifying (log (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 4 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [enter]simplify: Simplifying (cbrt (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 5 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (* (/ a (acos a)) (/ a (acos a))) (/ (- (acos a)) a)) * [exit]simplify: Simplified to (/ (* (/ a (acos a)) (/ a (acos a))) (/ (- (acos a)) a)) * * * * [misc]progress: [ 6 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [enter]simplify: Simplifying (sqrt (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 7 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * [enter]simplify: Simplifying (- (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 8 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 10 / 23 ] 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) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 11 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ a (cbrt (- (acos a)))) (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ (/ a (cbrt (- (acos a)))) (cbrt (- (acos a)))) * * * * [misc]progress: [ 12 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (sqrt (- (acos a)))) * [exit]simplify: Simplified to (/ a (sqrt (- (acos a)))) * * * * [misc]progress: [ 13 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * * * * [misc]progress: [ 14 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a -1) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ a -1) * [exit]simplify: Simplified to (/ a -1) * * * * [misc]progress: [ 15 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ a (cbrt (acos a))) (- (cbrt (acos a)))) * [exit]simplify: Simplified to (/ (/ a (cbrt (acos a))) (- (cbrt (acos a)))) * * * * [misc]progress: [ 16 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqrt (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (- (sqrt (acos a)))) * [exit]simplify: Simplified to (/ a (- (sqrt (acos a)))) * * * * [misc]progress: [ 17 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ a (- 1)) * [exit]simplify: Simplified to (/ a (- 1)) * * * * [misc]progress: [ 18 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (* (cbrt (acos a)) (cbrt (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ a (* (cbrt (acos a)) (cbrt (acos a)))) * [exit]simplify: Simplified to (/ a (* (cbrt (acos a)) (cbrt (acos a)))) * * * * [misc]progress: [ 19 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ a (sqrt (acos a))) * [exit]simplify: Simplified to (/ a (sqrt (acos a))) * * * * [misc]progress: [ 20 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to 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]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]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]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 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [enter]simplify: Simplifying (cbrt (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (/ (/ a (- (acos a))) (* (/ (acos a) a) (/ (acos a) a))) * [exit]simplify: Simplified to (/ (/ a (- (acos a))) (* (/ (acos a) a) (/ (acos a) a))) * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [enter]simplify: Simplifying (sqrt (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (acos a)) a) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (/ (acos a) a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (/ (acos a) a)))) * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (/ (- (acos a)) a)) * [exit]simplify: Simplified to (log (/ (- (acos a)) a)) * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (exp (/ (- (acos a)) a)) * [exit]simplify: Simplified to (exp (/ (- (acos a)) a)) * * * * [misc]progress: [ 22 / 46 ] 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))) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) * [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)) * [exit]simplify: Simplified to (cbrt (/ (- (acos a)) a)) * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (/ (* (/ (acos a) a) (/ (acos a) a)) (/ a (- (acos a)))) * [exit]simplify: Simplified to (/ (* (/ (acos a) a) (/ (acos a) a)) (/ a (- (acos a)))) * * * * [misc]progress: [ 24 / 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)) * [exit]simplify: Simplified to (sqrt (/ (- (acos a)) a)) * [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)) * [exit]simplify: Simplified to (sqrt (/ (- (acos a)) a)) * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ (acos a) a) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 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) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [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) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ a (cbrt (- (acos a)))) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (sqrt (- (acos a)))) * [exit]simplify: Simplified to (/ a (sqrt (- (acos a)))) * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ a (acos a)) * [exit]simplify: Simplified to (/ a (acos a)) * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (cbrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ a (cbrt (acos a))) * [exit]simplify: Simplified to (/ a (cbrt (acos a))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ a (sqrt (acos a))) * [exit]simplify: Simplified to (/ a (sqrt (acos a))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ a (acos a)) * [exit]simplify: Simplified to (/ a (acos a)) * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (cbrt (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (- (cbrt (acos a)))) * [exit]simplify: Simplified to (/ a (- (cbrt (acos a)))) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqrt (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (- (sqrt (acos a)))) * [exit]simplify: Simplified to (/ a (- (sqrt (acos a)))) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [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]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]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]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos a)) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos a)) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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)) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (acos a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (- (acos a)) (/ 1 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 (/ 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 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)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (- (acos a)) (/ 1 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 (/ 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 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (* 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos a)) 0) (+ (* 0 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (acos a)) into (- (acos a)) * [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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (acos a)) into (- (acos a)) * [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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 a))) (/ 1 (/ 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 (/ 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 (/ 1 1) into 1 * [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 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 a))) (/ 1 (/ 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 (/ 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 (/ 1 1) into 1 * [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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (* 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [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 (- (+ (* 1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [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 (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 (- a)))) (/ 1 (/ 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 (/ 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 (/ 1 -1) into -1 * [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 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 (- a)))) (/ 1 (/ 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 (/ 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 (/ 1 -1) into -1 * [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 (- (acos (/ -1 a))) into (- (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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (* 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 (- (acos (/ -1 a))) into (- (acos (/ -1 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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 (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 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 (- (acos (/ -1 a))) into (- (acos (/ -1 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 (- 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 (- (+ (* -1 (/ 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 (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 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 (- (acos (/ -1 a))) into (- (acos (/ -1 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 (- 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 (- (+ (* -1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (acos (/ -1 a))) into (- (acos (/ -1 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 (- 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 (- (+ (* -1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (acos (/ -1 a))) into (- (acos (/ -1 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 (- 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- (acos a)) (/ 1 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 (/ 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 a)) (/ 1 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 (/ 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 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 a))) (/ 1 (/ 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 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 a))) (/ 1 (/ 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 (/ 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 (/ 1 1) into 1 * [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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [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 (- (+ (* 1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [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 (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 (- a)))) (/ 1 (/ 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 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (acos (/ 1 (- a)))) (/ 1 (/ 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 (/ 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 (/ 1 -1) into -1 * [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 (- (acos (/ -1 a))) into (- (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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (* 0 -1)) 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 (- 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 (/ 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 (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (* 0 -1))) 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 (- 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 (- (+ (* -1 (/ 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 (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (- 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 (- (+ (* -1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 (- 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 (- (+ (* -1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) 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 (- 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 3 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 4 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (acos a))) (log (/ 1 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * * * * [misc]progress: [ 6 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 7 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 8 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 9 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [enter]simplify: Simplifying (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 10 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (/ (/ a (- (acos a))) (* (/ (acos a) a) (/ (acos a) a))) * [exit]simplify: Simplified to (/ (/ a (- (acos a))) (* (/ (acos a) a) (/ (acos a) a))) * * * * [misc]progress: [ 11 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [enter]simplify: Simplifying (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 12 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 13 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 15 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (acos a)) (/ 1 a)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 16 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 17 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 18 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (- (acos a)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 19 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 20 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (acos a))) (log (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (- (log (- (acos a))) (log a)) * [exit]simplify: Simplified to (- (log (- (acos a))) (log a)) * * * * [misc]progress: [ 22 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (log (/ (- (acos a)) a)) * [exit]simplify: Simplified to (log (/ (- (acos a)) a)) * * * * [misc]progress: [ 23 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (pow (exp (/ 1 a)) (- (acos a))) * [exit]simplify: Simplified to (pow (exp (/ 1 a)) (- (acos a))) * * * * [misc]progress: [ 24 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (* (/ (- (acos a)) a) (/ (* (acos a) (acos a)) (* a a))) * [exit]simplify: Simplified to (* (/ (- (acos a)) a) (/ (* (acos a) (acos a)) (* a a))) * * * * [misc]progress: [ 25 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (cbrt (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (acos a)) a)) * [exit]simplify: Simplified to (cbrt (/ (- (acos a)) a)) * * * * [misc]progress: [ 26 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) * [exit]simplify: Simplified to (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) * * * * [misc]progress: [ 27 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (acos a)) a)) * [exit]simplify: Simplified to (sqrt (/ (- (acos a)) a)) * [enter]simplify: Simplifying (sqrt (* (- (acos a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (acos a)) a)) * [exit]simplify: Simplified to (sqrt (/ (- (acos a)) a)) * * * * [misc]progress: [ 28 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos a) (/ 1 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 31 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [exit]simplify: Simplified to (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * * * [misc]progress: [ 32 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (* (- (acos a)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (* (- (acos a)) (sqrt (/ 1 a))) * * * * [misc]progress: [ 33 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 34 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 35 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (acos a))) a) * [exit]simplify: Simplified to (/ (cbrt (- (acos a))) a) * * * * [misc]progress: [ 36 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (acos a))) a) * [exit]simplify: Simplified to (/ (sqrt (- (acos a))) a) * * * * [misc]progress: [ 37 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 38 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos a) (/ 1 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 39 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (acos a)) a) * [exit]simplify: Simplified to (/ (cbrt (acos a)) a) * * * * [misc]progress: [ 40 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (acos a)) a) * [exit]simplify: Simplified to (/ (sqrt (acos a)) a) * * * * [misc]progress: [ 41 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos a) (/ 1 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 42 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cbrt (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a)) (cbrt (acos a))) * [exit]simplify: Simplified to (* (- (/ 1 a)) (cbrt (acos a))) * * * * [misc]progress: [ 43 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqrt (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a)) (sqrt (acos a))) * [exit]simplify: Simplified to (* (- (/ 1 a)) (sqrt (acos a))) * * * * [misc]progress: [ 44 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 45 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (acos a)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 46 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 52 ] 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]progress: [ 48 / 52 ] 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]progress: [ 49 / 52 ] 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]progress: [ 50 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos a)) * * * * [misc]progress: [ 51 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos a)) * * * * [misc]progress: [ 52 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos 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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (acos a))) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos a))) into (/ -1 (acos 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 (/ (/ -1 (acos a)) 1) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos a))) into (/ -1 (acos 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 (/ (/ -1 (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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (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 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (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 (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) 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 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 (- (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 (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) 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 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 (- (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 (- (+ (* (/ -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 (- (+ (* 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 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 (- (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 (- (+ (* (/ -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 (- (+ (* 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 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)) a) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos (/ 1 a))) 1) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 (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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (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 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (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 (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 1 a))) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos (/ -1 a)))) into (/ -1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos (/ -1 a))) -1) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos (/ -1 a)))) into (/ -1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 (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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) 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 (- (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 (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) 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 (/ 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 (- (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 (- (+ (* (/ -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) 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 (- (+ (* -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 (- (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 (- (+ (* (/ -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) 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 (- (+ (* -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 (- (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 (- (+ (* (/ -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) 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 (- (+ (* -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 (- (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 (- (+ (* (/ -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) 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 (- (+ (* -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 (/ 1 (- a)))) into (* -1 (/ a (acos a))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (- (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 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 (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) 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 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -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 (- 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 (- (+ (* (/ -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 (- 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 (- (+ (* (/ -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 (- 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 (- (+ (* (/ -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)) into (/ -1 (acos a)) * [misc]approximate: Taking taylor expansion of (/ 1 (- (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [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 (- (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 (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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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)))) into (/ -1 (acos a)) * [misc]approximate: Taking taylor expansion of (/ 1 (- (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (acos (/ -1 a)))) into (/ -1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (- (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 (/ 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [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 (- (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 (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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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))))) into (/ -1 (acos a)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (acos a)))) (log (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * [exit]simplify: Simplified to (- (log a) (log (- (acos a)))) * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (pow (/ a (- (acos a))) 3) * [exit]simplify: Simplified to (pow (/ a (- (acos a))) 3) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [enter]simplify: Simplifying (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (pow (/ a (- (acos a))) 3) * [exit]simplify: Simplified to (pow (/ a (- (acos a))) 3) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (- 1) (- (acos a))) * [exit]simplify: Simplified to (/ (- 1) (- (acos a))) * [enter]simplify: Simplifying (- (/ 1 a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) a) * [exit]simplify: Simplified to (/ (- 1) a) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) a) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) a) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) a) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) a) * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- (acos a)))) a) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- (acos a)))) a) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- (acos a)))) a) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- (acos a)))) a) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 a))) (- (acos a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 a))) (- (acos a))) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 a))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 a))) (- (acos a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 a))) (- (acos a))) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 a))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * [exit]simplify: Simplified to (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) * [exit]simplify: Simplified to (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) * [exit]simplify: Simplified to (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 a) (- (acos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (- (log (- (acos a)))) * [exit]simplify: Simplified to (- (log (- (acos a)))) * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (log (- (acos a)))) * [exit]simplify: Simplified to (- (log (- (acos a)))) * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (exp (/ 1 (- (acos a)))) * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) * [enter]simplify: Simplifying (cbrt (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ 1 (- (acos a)))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (acos a))) (* (acos a) (acos a))) * [exit]simplify: Simplified to (/ (/ 1 (- (acos a))) (* (acos a) (acos a))) * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [enter]simplify: Simplifying (sqrt (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (acos a)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (acos a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (acos a)))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 -1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 -1) * [exit]simplify: Simplified to (/ 1 -1) * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqrt (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqrt (acos a)))) * [exit]simplify: Simplified to (/ 1 (- (sqrt (acos a)))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ 1 (- 1)) * [exit]simplify: Simplified to (/ 1 (- 1)) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (acos a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (acos a))) * [exit]simplify: Simplified to (/ 1 (sqrt (acos a))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 63 / 68 ] 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]progress: [ 64 / 68 ] 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]progress: [ 65 / 68 ] 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]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ a (- (acos a))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 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 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3998 additional inputs, on iter 1 have 4002 / 8000 * * * * [misc]points: Computing exacts on every 249 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 124 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 62 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 3998 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3998 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2013 additional inputs, on iter 2 have 5987 / 8000 * * * * [misc]points: Computing exacts on every 125 of 2013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 62 of 2013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 2013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 2013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 2013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 2013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2013 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 977 additional inputs, on iter 3 have 7023 / 8000 * * * * [misc]points: Computing exacts on every 61 of 977 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 30 of 977 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 977 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 977 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 977 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 977 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 508 additional inputs, on iter 4 have 7492 / 8000 * * * * [misc]points: Computing exacts on every 31 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 508 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 266 additional inputs, on iter 5 have 7734 / 8000 * * * * [misc]points: Computing exacts on every 16 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 266 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 134 additional inputs, on iter 6 have 7866 / 8000 * * * * [misc]points: Computing exacts on every 8 of 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 134 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 67 additional inputs, on iter 7 have 7933 / 8000 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 67 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 8 have 7965 / 8000 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 9 have 7980 / 8000 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 10 have 7991 / 8000 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 11 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 12 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs