* [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 130 additional inputs, on iter 1 have 126 / 256 * * * * [misc]points: Computing exacts on every 8 of 130 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 130 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 130 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 130 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 75 additional inputs, on iter 2 have 181 / 256 * * * * [misc]points: Computing exacts on every 4 of 75 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 75 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 75 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 37 additional inputs, on iter 3 have 219 / 256 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 37 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 17 additional inputs, on iter 4 have 239 / 256 * * * * [misc]points: Computing exacts for 17 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 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 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * [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 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI)) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI)) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) into (* 1/3 (acos (* -1 (/ g h)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (* 2 PI) 3)) (exp (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (log (exp (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))))))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (+ (* PI 2) (acos (- (/ g h)))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (* 2 (/ PI 3)) (/ (acos (- (/ g h))) 3)) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (* 1 (+ (* 2 (/ PI 3)) (/ (acos (- (/ g h))) 3)))))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (* (/ 1 3) (+ (* 2 PI) (acos (/ (- g) h))))))) * [enter]simplify: Simplifying (+ (* 2 PI) (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (- (/ g h))) (* PI 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (* (/ 1 3) (+ (acos (- (/ g h))) (* PI 2)))))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (asin (/ (- g) h)) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (asin (- (/ g h))) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3)) (/ (asin (- (/ g h))) 3))))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI (/ 2 3)) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (+ (* (cos (+ (* PI (/ 2 3)) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ PI (* 3 2)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (- (/ PI (* 3 2)) (/ (asin (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (- (/ PI 3) (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (- (/ g h)))) (cbrt (acos (- (/ g h))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (* (cbrt (acos (- (/ g h)))) (cbrt (acos (- (/ g h))))) (/ 3 (cbrt (acos (/ (- g) h))))))))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (acos (- (/ g h)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (sqrt (acos (- (/ g h)))) (/ 3 (sqrt (acos (/ (- g) h))))))))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [misc]simplify: Simplified (2) to (λ (g h) (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* (acos (- (/ g h))) 1/3) (* PI 2/3)) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* PI 2/3))))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* (acos (- (/ g h))) 1/3) (* PI 2/3)) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* PI 2/3))))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* (acos (- (/ g h))) 1/3) (* PI 2/3)) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* PI 2/3))))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (* -1 (/ g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (- (/ g h)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (- (/ g h)))))))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (* -1 (/ g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (- (/ g h)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (- (/ g h)))))))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (* -1 (/ g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (- (/ g h)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (- (/ g h)))))))) * * * [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 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (cos (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* 1/2 (sin (* 2 (/ PI 3)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (+ (* 1/2 (sin (* 2 (/ PI 3)))) (* (cos (/ (* 2 PI) 3)) (sin (/ PI 3)))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (pow (/ (+ 1 2) (/ 3 PI)) 1))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 1 2))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (exp (+ (log (/ PI 3)) (log (+ 1 2)))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (cbrt (* (pow (/ PI 3) 3) (pow (+ 2 1) 3))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* (* 2 PI) (* 2 2)) PI) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ (+ (* (* 2 PI) (* 2 2)) PI) (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* (* 3 2) 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ (* (+ (pow 2 3) (pow 1 3)) PI) (+ (- 3 (* 3 2)) (* (* 3 2) 2))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (* (* PI 2) 2) PI) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ (- (* (* PI 2) 2) PI) (* (- 2 1) 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ (- (* (* PI 2) 2) PI) (- (* 3 2) 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) (cbrt (/ PI 3))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (* (+ 2 1) (sqrt (/ PI 3))) (sqrt (/ PI 3))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (* (+ 2 1) 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (* (+ 2 1) PI) (/ 1 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (cbrt (+ 2 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 2)) (cbrt (+ 1 2))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (* (cbrt (+ 1 2)) (cbrt (+ 1 2))) (* (cbrt (+ 2 1)) (/ PI 3))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 2)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (sqrt (+ 1 2)) (* (sqrt (+ 2 1)) (/ PI 3))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) (+ (* 2 2) (- (* 1 1) (* 2 1)))))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (* (- (* 2 2) 1) (/ PI 3)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ (* (- (* 2 2) 1) (/ PI 3)) (- 2 1)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)))) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)))) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)))) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (/ (acos (/ g h)) 3)) (* 2 (sin (/ (+ 1 2) (/ 3 PI))))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in h * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in h * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g))))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in h * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g)))))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (* 3 (+ (* 2 PI) (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 PI) (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (* 3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g)))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (* 3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g))))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]approximate: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g))))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]approximate: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g)))))) into (+ (* 2 PI) (acos (- (/ g h)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g)))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g))))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* PI 2) (acos (- (/ g h))))) (cbrt (+ (* PI 2) (acos (- (/ g h)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (acos (/ (- g) h)) (* 2 PI))) (cbrt (+ (acos (/ (- g) h)) (* 2 PI)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (* (* (cbrt (+ (acos (/ (- g) h)) (* 2 PI))) (cbrt (+ (acos (/ (- g) h)) (* 2 PI)))) (* (cbrt (+ (* PI 2) (acos (- (/ g h))))) 3)) (* 3 3))))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (acos (- (/ g h))) (* 2 PI))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (* (sqrt (+ (acos (- (/ g h))) (* 2 PI))) (* (sqrt (+ (* PI 2) (acos (- (/ g h))))) 3)) (* 3 3))))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* PI 2) 3) (pow (acos (- (/ g h))) 3)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (acos (/ (- g) h)) 3)) (* (* (* 2 PI) 3) (* (* 2 PI) (* 2 PI)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (/ (+ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (acos (/ (- g) h)) 3)) (* (* (* 2 PI) 3) (* (* 2 PI) (* 2 PI)))) (+ (* (* PI 2) (* PI 2)) (- (* (acos (- (/ g h))) (acos (- (/ g h)))) (* (* PI 2) (acos (- (/ g h))))))) (* 3 3))))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* PI 2) (* PI 2)) (* (acos (- (/ g h))) (acos (- (/ g h))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (* (- (* 2 PI) (acos (- (/ g h)))) (* 3 (+ (acos (- (/ g h))) (* 2 PI)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (/ (* (- (* 2 PI) (acos (- (/ g h)))) (* 3 (+ (acos (- (/ g h))) (* 2 PI)))) (- (* PI 2) (acos (- (/ g h))))) (* 3 3))))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* PI 2)) (exp (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (exp (+ (acos (- (/ g h))) (+ PI PI))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (g h) (* 2 (cos (/ (* (log (exp (+ (acos (- (/ g h))) (+ PI PI)))) 3) (* 3 3))))) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (- (/ g h))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (asin (/ (- g) h)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (g h) (* 2 (cos (/ (* (- (+ (* PI 2) (/ PI 2)) (asin (/ (- g) h))) 3) (* 3 3))))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (/ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (acos (/ g h)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (g h) (* 2 (cos (/ (* (- (+ (* PI 2) PI) (acos (/ g h))) 3) (* 3 3))))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (+ (* PI 2) (acos (- (/ g h)))) 3)) (log (* 3 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (- (log (+ (acos (/ (- g) h)) (* 2 PI))) (log 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (exp (- (log (+ (acos (/ (- g) h)) (* 2 PI))) (log 3)))))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* (+ (* PI 2) (acos (- (/ g h)))) 3)) (* (+ (* PI 2) (acos (- (/ g h)))) 3)) (* (* (* 3 3) (* 3 3)) (* 3 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (pow (/ (+ (acos (/ (- g) h)) (* 2 PI)) (/ 3 1)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (cbrt (pow (/ (+ (acos (/ (- g) h)) (* 2 PI)) (/ 3 1)) 3))))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* PI 2) (acos (- (/ g h)))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (acos (/ (- g) h)) (* 2 PI)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (* (/ (+ (acos (/ (- g) h)) (* 2 PI)) 3) (/ 3 3))))) * [enter]simplify: Simplifying (/ 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (* (/ (+ (* PI 2) (acos (- (/ g h)))) 3) 1)))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI 2) (acos (- (/ g h)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (/ (- g) h)) (* 2 PI)) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (+ (acos (/ (- g) h)) (* 2 PI)) (/ (* 3 3) 3))))) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* PI 2) 3) (pow (acos (- (/ g h))) 3)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (acos (/ (- g) h)) 3)) (* (* (* 2 PI) 3) (* (* 2 PI) (* 2 PI)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (+ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (acos (/ (- g) h)) 3)) (* (* (* 2 PI) 3) (* (* 2 PI) (* 2 PI)))) (* (* 3 3) (+ (* (* PI 2) (* PI 2)) (- (* (acos (- (/ g h))) (acos (- (/ g h)))) (* (* PI 2) (acos (- (/ g h))))))))))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* PI 2) (* PI 2)) (* (acos (- (/ g h))) (acos (- (/ g h))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (* (- (* 2 PI) (acos (- (/ g h)))) (* 3 (+ (acos (- (/ g h))) (* 2 PI)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (* (- (* 2 PI) (acos (- (/ g h)))) (* 3 (+ (acos (- (/ g h))) (* 2 PI)))) (* (* 3 3) (- (* PI 2) (acos (- (/ g h))))))))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (cos (* (+ (acos (/ (- g) h)) (* PI 2)) 1/3)) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (cos (* (+ (acos (/ (- g) h)) (* PI 2)) 1/3)))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (cos (* (+ (acos (/ (- g) h)) (* PI 2)) 1/3)) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (cos (* (+ (acos (/ (- g) h)) (* PI 2)) 1/3)))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (cos (* (+ (acos (/ (- g) h)) (* PI 2)) 1/3)) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (cos (* (+ (acos (/ (- g) h)) (* PI 2)) 1/3)))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (- (/ g h))) (* PI 2)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (acos (- (/ g h))) (* PI 2)) 3) (* 3 3))))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (- (/ g h))) (* PI 2)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (acos (- (/ g h))) (* PI 2)) 3) (* 3 3))))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (- (/ g h))) (* PI 2)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (acos (- (/ g h))) (* PI 2)) 3) (* 3 3))))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 PI) (acos (- (/ g h)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (/ (- g) h)) (* PI 2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (acos (/ (- g) h)) (* PI 2)) 3) (* 3 3))))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 PI) (acos (- (/ g h)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (/ (- g) h)) (* PI 2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (acos (/ (- g) h)) (* PI 2)) 3) (* 3 3))))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 PI) (acos (- (/ g h)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (/ (- g) h)) (* PI 2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (/ (* (+ (acos (/ (- g) h)) (* PI 2)) 3) (* 3 3))))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (- (/ g h))) (* PI 2)) 1/3) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (cos (* (+ (acos (- (/ g h))) (* PI 2)) 1/3)))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (- (/ g h))) (* PI 2)) 1/3) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (cos (* (+ (acos (- (/ g h))) (* PI 2)) 1/3)))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (- (/ g h))) (* PI 2)) 1/3) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (cos (* (+ (acos (- (/ g h))) (* PI 2)) 1/3)))) * * * [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 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * [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 (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* 2 (- (* (* (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) (cbrt (cos (/ (* 2 PI) 3)))) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (cbrt (cos (/ (* PI 2) 3))) (cbrt (cos (/ (* PI 2) 3)))) (cbrt (cos (/ (* PI 2) 3)))) (cos (/ (acos (- (/ g h))) 3))) (* (sin (/ (* PI 2) 3)) (sin (/ (acos (- (/ g h))) 3)))) 2) * * * * [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 3980 additional inputs, on iter 1 have 4020 / 8000 * * * * [misc]points: Computing exacts on every 248 of 3980 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 124 of 3980 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 3980 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 3980 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 3980 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 3980 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 3980 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 3980 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 2014 additional inputs, on iter 2 have 5986 / 8000 * * * * [misc]points: Computing exacts on every 125 of 2014 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 2014 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 2014 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 2014 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 2014 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 2014 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2014 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 1013 additional inputs, on iter 3 have 6987 / 8000 * * * * [misc]points: Computing exacts on every 63 of 1013 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 1013 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 1013 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 1013 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 1013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1013 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 507 additional inputs, on iter 4 have 7493 / 8000 * * * * [misc]points: Computing exacts on every 31 of 507 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 507 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 507 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 507 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 507 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 238 additional inputs, on iter 5 have 7762 / 8000 * * * * [misc]points: Computing exacts on every 14 of 238 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 238 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 238 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 238 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 118 additional inputs, on iter 6 have 7882 / 8000 * * * * [misc]points: Computing exacts on every 7 of 118 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 118 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 118 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 7 have 7940 / 8000 * * * * [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 35 additional inputs, on iter 8 have 7965 / 8000 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 35 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 13 additional inputs, on iter 9 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 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 5 additional inputs, on iter 10 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 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 11 have 7998 / 8000 * * * * [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 * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7999 / 8000 * * * * [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 8000 points with exact outputs