* [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 121 additional inputs, on iter 1 have 135 / 256 * * * * [misc]points: Computing exacts on every 7 of 121 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 121 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 121 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 60 additional inputs, on iter 2 have 196 / 256 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 60 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 30 additional inputs, on iter 3 have 226 / 256 * * * * [misc]points: Computing exacts for 30 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 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 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 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 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 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 2 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 3 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 25 ] 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: [ 5 / 25 ] 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: [ 6 / 25 ] 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: [ 7 / 25 ] 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: [ 8 / 25 ] 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: [ 9 / 25 ] 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: [ 10 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 25 ] 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: [ 12 / 25 ] 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: [ 13 / 25 ] 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: [ 14 / 25 ] 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: [ 15 / 25 ] 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: [ 16 / 25 ] 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: [ 17 / 25 ] 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: [ 18 / 25 ] 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: [ 19 / 25 ] 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: [ 20 / 25 ] 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: [ 21 / 25 ] 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: [ 22 / 25 ] 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: [ 23 / 25 ] 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: [ 24 / 25 ] 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: [ 25 / 25 ] 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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 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 (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 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 (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 50 ] 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: [ 5 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 50 ] 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: [ 7 / 50 ] 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: [ 8 / 50 ] 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: [ 9 / 50 ] 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: [ 10 / 50 ] 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: [ 11 / 50 ] 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: [ 12 / 50 ] 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: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] 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: [ 15 / 50 ] 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: [ 16 / 50 ] 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: [ 17 / 50 ] 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: [ 18 / 50 ] 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: [ 19 / 50 ] 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: [ 20 / 50 ] 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: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (acos a)) a)) * [exit]simplify: Simplified to (expm1 (/ (- (acos a)) a)) * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log1p (/ (- (acos a)) a)) * [exit]simplify: Simplified to (log1p (/ (- (acos a)) a)) * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] 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: [ 25 / 50 ] 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: [ 26 / 50 ] 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: [ 27 / 50 ] 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: [ 28 / 50 ] 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: [ 29 / 50 ] 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: [ 30 / 50 ] 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: [ 31 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 50 ] 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: [ 33 / 50 ] 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 / 50 ] 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: [ 35 / 50 ] 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: [ 36 / 50 ] 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: [ 37 / 50 ] 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: [ 38 / 50 ] 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: [ 39 / 50 ] 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: [ 40 / 50 ] 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: [ 41 / 50 ] 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: [ 42 / 50 ] 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: [ 43 / 50 ] 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: [ 44 / 50 ] 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: [ 45 / 50 ] 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: [ 46 / 50 ] 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: [ 47 / 50 ] 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 / 50 ] 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: [ 49 / 50 ] 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: [ 50 / 50 ] 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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 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 (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 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 (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 44 ] 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: [ 5 / 44 ] 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: [ 6 / 44 ] 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: [ 7 / 44 ] 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: [ 8 / 44 ] 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: [ 9 / 44 ] 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: [ 10 / 44 ] 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: [ 11 / 44 ] 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: [ 12 / 44 ] 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: [ 13 / 44 ] 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: [ 14 / 44 ] 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: [ 15 / 44 ] 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: [ 16 / 44 ] 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: [ 17 / 44 ] 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: [ 18 / 44 ] 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: [ 19 / 44 ] 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: [ 20 / 44 ] 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: [ 21 / 44 ] 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: [ 22 / 44 ] 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: [ 23 / 44 ] 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: [ 24 / 44 ] 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: [ 25 / 44 ] 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: [ 26 / 44 ] 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: [ 27 / 44 ] 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: [ 28 / 44 ] 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: [ 29 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 44 ] 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: [ 31 / 44 ] 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: [ 32 / 44 ] 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: [ 33 / 44 ] 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: [ 34 / 44 ] 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: [ 35 / 44 ] 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: [ 36 / 44 ] 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: [ 37 / 44 ] 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: [ 38 / 44 ] 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: [ 39 / 44 ] 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: [ 40 / 44 ] 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: [ 41 / 44 ] 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: [ 42 / 44 ] 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 / 44 ] 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 / 44 ] 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 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))) into (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) into (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) into (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) (cbrt (/ (- (acos (/ 1 a))) (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) (cbrt (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) (cbrt (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))))) into (pow (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 2) into (pow (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 0) (* 0 (exp (* 1/3 (+ (log a) (log (* -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 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log a) (log (* -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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log a) (log (* -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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log a) (log (* -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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log a) (log (* -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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos (/ 1 (/ 1 a)))))))) 2) into (pow (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))) into (pow (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 2) into (pow (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) 2) into (pow (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))) 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos (/ 1 (/ 1 a)))))))) into (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos (/ 1 (/ 1 a)))))))) into (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos a)) a)) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos a)) a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos a)) a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos a)) a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [misc]taylor: Taking taylor expansion of (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (log (* -1 (acos a))) into (log (* -1 (acos a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1 (acos a))) (log a))) into (* 1/3 (- (log (* -1 (acos a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -1 (acos a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* -1 (acos a)))) into (- (log (* -1 (acos a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 (acos a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) into (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 a))) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 a))) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ 1 a))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (log (* -1 (acos (/ 1 a)))) into (log (* -1 (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) into (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into (exp (* 1/3 (+ (log a) (log (* -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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (acos (/ 1 a))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (acos (/ 1 a))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (acos (/ 1 a))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (acos (/ 1 a))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (acos (/ 1 a))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (acos (/ 1 a))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (acos (/ 1 a))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (acos (/ 1 a))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (acos (/ 1 a))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* -1 (acos (/ 1 a))))) into (+ (log a) (log (* -1 (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log (* -1 (acos (/ 1 a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* -1 (acos (/ 1 a))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 a)) (log (* -1 (acos (/ 1 (/ 1 a)))))))) into (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- (acos (/ -1 a))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (log (acos (/ -1 a))) into (log (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (acos (/ -1 a))) (log a))) into (* 1/3 (+ (log (acos (/ -1 a))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) into (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (acos (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (acos (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (acos (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (acos (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (acos (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (acos (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (acos (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (acos (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (acos (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (acos (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (acos (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (acos (/ -1 a)))) into (+ (log (acos (/ -1 a))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (acos (/ -1 a))) (log a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (acos (/ -1 a))) (log a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (acos (/ -1 (/ 1 (- a))))) (log (/ 1 (- a)))))) into (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (expm1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (log1p (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 4 / 92 ] 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 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (acos a)) a) (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * * * * [misc]progress: [ 6 / 92 ] 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))) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 92 ] 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 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (- (acos a)) a))) (log (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (- (acos a)) a))) (log (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (- (acos a)) a))) (log (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (- (/ (acos a) a)))) (log (cbrt (- (/ (acos a) a))))) * [exit]simplify: Simplified to (+ (log (cbrt (- (/ (acos a) a)))) (log (cbrt (- (/ (acos a) a))))) * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * [exit]simplify: Simplified to (exp (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (acos a)) a) (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * [exit]simplify: Simplified to (* (/ (acos a) a) (/ (acos a) a)) * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (fabs (cbrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (fabs (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (- (acos a)))) * [enter]simplify: Simplifying (* (cbrt a) (cbrt a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cbrt a) (cbrt a)) * [exit]simplify: Simplified to (* (cbrt a) (cbrt a)) * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))))) * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (cbrt (sqrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (sqrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (sqrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (cbrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt 1)) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt 1)) * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (sqrt (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (sqrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (acos a)) a)) (cbrt (sqrt (/ (- (acos a)) a)))) * * * * [misc]progress: [ 28 / 92 ] 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))) * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 a)) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 a)) (cbrt (- (/ (acos a) a)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 a)) (cbrt (- (/ (acos a) a)))) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 32 / 92 ] 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))) * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (acos a)) a)) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (* (cbrt (- (acos a))) (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (log1p (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (log (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (exp (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [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: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (log1p (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (log (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (exp (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [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: [ 60 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (log1p (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (log (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (exp (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [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: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- (acos a)) a))) (cbrt (cbrt (/ (- (acos a)) a)))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- (acos a)) a))) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) 2)) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (pow (/ (- (acos a)) (exp (log a))) (+ (- 1/3) (- 1/3))) (cbrt (/ (acos a) (/ a -1)))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))) 2)) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (acos a) (/ a -1)))) (pow (* (- (acos a)) (/ 1 a)) (+ 1/3 1/3))) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))) 2)) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (/ (pow (* (acos a) (/ -1 a)) (+ (- 1/3) (- 1/3))) (cbrt (- (/ (acos a) a)))) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (exp (* 1/3 (- (log (* -1 (acos a))) (log a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (acos a) (/ a -1)))) (* (cbrt (/ (acos a) (/ a -1))) (cbrt (/ (acos a) (/ a -1))))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ (acos a) (/ a -1)) (- 1/3)) (cbrt (/ (acos a) (/ a -1)))) (cbrt (/ (acos a) (/ a -1)))) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (/ (pow (* (acos a) (/ -1 a)) (- 1/3)) (* (cbrt (* (acos a) (/ -1 a))) (cbrt (* (acos a) (/ -1 a))))) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (acos a) (/ a -1)))) (* (cbrt (/ (acos a) (/ a -1))) (cbrt (/ (acos a) (/ a -1))))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (acos a) (/ a -1)))) (* (cbrt (/ (acos a) (/ a -1))) (cbrt (/ (acos a) (/ a -1))))) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (- (acos a)) a)) (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (acos a) (/ -1 a)))) (* (cbrt (* (acos a) (/ -1 a))) (cbrt (* (acos a) (/ -1 a))))) * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (exp (* 1/3 (- (log (* -1 (acos a))) (log a)))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (pow (/ (- (acos a)) (exp (log a))) (- 1/3)) (* (cbrt (/ (acos a) (/ a -1))) (cbrt (/ (acos a) (/ a -1))))) * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (exp (* 1/3 (+ (log (* -1 (acos a))) (log (/ 1 a))))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (/ (pow (* (- (acos a)) (/ 1 a)) (- 1/3)) (* (cbrt (/ (acos a) (/ a -1))) (cbrt (/ (acos a) (/ a -1))))) * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (exp (* 1/3 (+ (log (acos a)) (log (/ -1 a))))) (cbrt (/ (- (acos a)) a)))) (cbrt (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (- (acos a)) a))) (* (cbrt (/ (- (acos a)) a)) (cbrt (* (/ -1 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: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4011 additional inputs, on iter 1 have 3989 / 8000 * * * * [misc]points: Computing exacts on every 250 of 4011 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 4011 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 4011 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 4011 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 4011 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 4011 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 4011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4011 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 2030 additional inputs, on iter 2 have 5970 / 8000 * * * * [misc]points: Computing exacts on every 126 of 2030 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 63 of 2030 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 2030 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 2030 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 2030 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 2030 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2030 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 966 additional inputs, on iter 3 have 7034 / 8000 * * * * [misc]points: Computing exacts on every 60 of 966 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 966 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 966 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 966 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 966 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 966 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 489 additional inputs, on iter 4 have 7511 / 8000 * * * * [misc]points: Computing exacts on every 30 of 489 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 489 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 489 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 489 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 489 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 224 additional inputs, on iter 5 have 7776 / 8000 * * * * [misc]points: Computing exacts on every 14 of 224 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 224 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 224 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 224 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 107 additional inputs, on iter 6 have 7893 / 8000 * * * * [misc]points: Computing exacts on every 6 of 107 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 107 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 107 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 56 additional inputs, on iter 7 have 7944 / 8000 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 56 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 29 additional inputs, on iter 8 have 7971 / 8000 * * * * [misc]points: Computing exacts for 29 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 12 additional inputs, on iter 9 have 7988 / 8000 * * * * [misc]points: Computing exacts for 12 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 10 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 * * * * [exit]points: Sampled 8000 points with exact outputs