* [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 139 additional inputs, on iter 1 have 117 / 256 * * * * [misc]points: Computing exacts on every 8 of 139 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 139 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 139 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 139 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 77 additional inputs, on iter 2 have 179 / 256 * * * * [misc]points: Computing exacts on every 4 of 77 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 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 77 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 47 additional inputs, on iter 3 have 209 / 256 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 47 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 21 additional inputs, on iter 4 have 235 / 256 * * * * [misc]points: Computing exacts for 21 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 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 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 6 have 251 / 256 * * * * [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 7 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 8 have 254 / 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 258 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 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) 2) * * [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 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in h * [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 (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in g * [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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in g * [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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in 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]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 (/ g h)))) into (* 1/3 (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)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) 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 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) 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 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) 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 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) 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 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in h * [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 (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in h * [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 (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in h * [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 (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in g * [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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) in g * [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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in 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]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 (/ g h)))) into (* 1/3 (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)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) 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 (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in h * [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 (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) 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 (+ (* 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in h * [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 (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) 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]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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) 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 (+ (* 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 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 (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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 (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [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 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ (- g) h)) 3)) (cos (/ PI 3/2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (- (/ g h))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (- (* (cos (/ PI 3/2)) (cos (/ (acos (- (/ g h))) 3))) (* (sin (/ (acos (/ (- g) h)) 3)) (sin (/ PI 3/2)))) 2)) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (/ PI 2) 3)) (cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (asin (- (/ g h))) 3) (/ PI 3/2))) (/ (sqrt 3) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (asin (- (/ g h))) 3) (/ PI 3/2))) (/ (sqrt 3) 2)) (* (sin (/ (/ PI 2) 3)) (sin (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ PI 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (acos (/ (- g) h)) 3)) (exp (/ PI 3/2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (log (exp (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))))) 2)) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (* (acos (- (/ g h))) 3/2) (* 3 PI)) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (/ (+ (* (acos (- (/ g h))) 3/2) (* 3 PI)) (* 3 3/2))) 2)) * [enter]simplify: Simplifying (* 3 3/2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 9/2 * [misc]simplify: Simplified (2 1 1 2) to (λ (g h) (* (cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)) 2)) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (/ (acos (- (/ g h))) 3) (/ PI 3/2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (g h) (* (cos (* 1 (+ (/ (acos (- (/ g h))) 3) (/ PI 3/2)))) 2)) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI 6) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (- (/ PI 6) (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2)))) 2)) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (- (/ PI 3) (- (/ (acos (/ g h)) 3) (/ PI 3/2)))) 2)) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI 6) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (cos (+ (- (/ PI 6) (/ (asin (/ (- g) h)) 3)) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (cos (+ (- (/ PI 3) (/ (acos (/ g h)) 3)) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] 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 1 1 1 1) to (λ (g h) (* (cos (+ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3 (cbrt (acos (/ (- g) h))))) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 49 / 60 ] 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 1 1 1 1) to (λ (g h) (* (cos (+ (/ (sqrt (acos (- (/ g h)))) (/ 3 (sqrt (acos (/ (- g) h))))) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) 2) * [misc]simplify: Simplified (2) to (λ (g h) (* (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * [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 (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) * [misc]simplify: Simplified (2 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * [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 (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) * [misc]simplify: Simplified (2 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * [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 (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) * [misc]simplify: Simplified (2 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [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 (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [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 (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [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 (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 58 / 60 ] 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 1 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (/ (- g) h))) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 59 / 60 ] 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 1 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (/ (- g) h))) (/ PI 3/2))) 2)) * * * * [misc]progress: [ 60 / 60 ] 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 1 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (/ (- g) h))) (/ PI 3/2))) 2)) * * * [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 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (/ PI 3/2)) in h * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (/ PI 3/2)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (/ PI 3/2)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g 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]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ 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 (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 h) (/ 1 g)))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ 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 (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (- h)) (/ 1 (- g))))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (/ PI 3/2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (/ PI 3/2))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (/ PI 3/2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (/ PI 3/2))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 3) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (/ (sqrt 3) 2) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (+ (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (sqrt 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (sqrt 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (+ (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (sqrt 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (sqrt 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (+ (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (sqrt 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (sqrt 3)) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) * * * [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 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (/ PI 3/2)) in h * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (/ PI 3/2)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (/ PI 3/2)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g 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]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ g h))) (* 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 (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ 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 (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 h) (/ 1 g)))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (/ PI 3/2)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ 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 (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (- h)) (/ 1 (- g))))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (/ PI 3/2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (/ PI 3/2))))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 2 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (/ PI 3/2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (/ PI 3/2))))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 40 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (+ (* (acos (/ g h)) 1/3) (* -2/3 PI))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) in h * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ g h)) 3)) in h * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ g h)) 3)) in h * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) in g * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ g h)) 3)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ g h)) 3)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) in g * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ g h)) 3)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ g h)) 3)) in g * [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 (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) 1) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ g h)))) 0) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 1) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2/3 PI)) 0) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) into (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) 1) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/3 (acos (/ g h)))) 0) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 1) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 2/3 PI)) 0) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI))) into (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) in h * [misc]taylor: Taking taylor expansion of (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (cos (* 2/3 PI)) 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]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (acos (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (sin (* 1/3 (acos (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (sin (* 2/3 PI)) 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]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 1) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2/3 PI)) 0) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) 1) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ g h)))) 0) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) into (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) 1) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/3 (acos (/ g h)))) 0) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 1) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 2/3 PI)) 0) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI))) into (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (* 0 (cos (* 2/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (* 0 (sin (* 2/3 PI)))) 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 (/ g h)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 2/3 PI)) 0) (* 0 (cos (* 1/3 (acos (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (* 0 (sin (* 2/3 PI)))) 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)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 (cos (* 2/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI))))) 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 (/ g h)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 (cos (* 1/3 (acos (/ g h))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI))))) 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)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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)) 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]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 (/ 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]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 2/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI)))))) 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)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2)))) in h * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2)))) in g * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2)))) in g * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (cos (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) (sin (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 1) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2/3 PI)) 0) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) (cos (* 2/3 PI))) into (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 1) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/3 (acos (/ h g)))) 0) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 1) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 2/3 PI)) 0) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) (sin (* 2/3 PI))) into (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (cos (* 2/3 PI)) 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]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (acos (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (sin (* 2/3 PI)) 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]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (sin (* 1/3 (acos (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 1) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2/3 PI)) 0) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) into (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 1) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 2/3 PI)) 0) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 1) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/3 (acos (/ h g)))) 0) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) into (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 (cos (* 2/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (* 0 (sin (* 2/3 PI)))) 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 (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 2/3 PI)) 0) (* 0 (cos (* 1/3 (acos (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 (sin (* 1/3 (acos (/ h g)))))) 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)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 (cos (* 2/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI))))) 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 (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 (cos (* 1/3 (acos (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 (sin (* 1/3 (acos (/ h g))))))) 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)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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)) 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]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 (/ 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]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 2/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI)))))) 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)) (cos (* 1/3 (acos (/ (/ 1 h) (/ 1 g)))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ (/ 1 h) (/ 1 g))))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2)))) in h * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2))) in h * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in h * [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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2)))) in g * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2)))) in g * [misc]taylor: Taking taylor expansion of (* (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (cos (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (cos (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) (sin (/ PI 3/2))) in g * [misc]taylor: Taking taylor expansion of (sin (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in 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 (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (sin (/ PI 3/2)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 1) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2/3 PI)) 0) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) (cos (* 2/3 PI))) into (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 1) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/3 (acos (/ h g)))) 0) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 1) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 2/3 PI)) 0) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) (sin (* 2/3 PI))) into (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (cos (* 2/3 PI)) 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]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (acos (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (sin (* 2/3 PI)) 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]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (sin (* 2/3 PI)) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (* 2/3 PI)) into (cos (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (sin (* 1/3 (acos (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (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 (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 1) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2/3 PI)) 0) into (cos (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) into (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) 1) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (cos (* 2/3 PI)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 2/3 PI)) 0) into (sin (* 2/3 PI)) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 1) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/3 (acos (/ h g)))) 0) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) into (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ h g))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ h g)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 (cos (* 2/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (* 0 (sin (* 2/3 PI)))) 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 (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 2/3 PI)) 0) (* 0 (cos (* 1/3 (acos (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (* 0 (sin (* 1/3 (acos (/ h g)))))) 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)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 (cos (* 2/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI))))) 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 (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 (cos (* 1/3 (acos (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (* 0 (sin (* 1/3 (acos (/ h g))))))) 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)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) 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)) 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]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 (/ 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]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 2/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 2/3 PI)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 2/3 PI)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 2/3 PI)))))) 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)) (cos (* 1/3 (acos (/ (/ 1 (- h)) (/ 1 (- g))))))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ (/ 1 (- h)) (/ 1 (- g)))))))) into (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2)))) (exp (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (exp (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ PI 3/2)) (sin (/ (acos (/ g h)) 3))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (log (exp (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ PI 3/2)) (sin (/ (acos (/ g h)) 3)))))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 2 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (cos (+ (/ (acos (/ g h)) 3) (/ PI 3/2))) (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))) 2) (* 2 (- (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) (cos (+ (/ (acos (/ g h)) 3) (/ PI 3/2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 4) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (/ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 4) (* 2 2)) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (g h) (* (+ (* (/ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 4) 4) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (+ (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ g h)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ g h)))))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (+ (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ g h)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ g h)))))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos (* 2/3 PI)) (cos (* 1/3 (acos (/ g h))))) (* (sin (* 1/3 (acos (/ g h)))) (sin (* 2/3 PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (+ (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ g h)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (* 1/3 (acos (/ g h)))) (cos (* 2/3 PI))) (* (sin (* 2/3 PI)) (sin (* 1/3 (acos (/ g h)))))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (/ PI 3/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (/ PI 3/2)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (/ PI 3/2)))) 1/2) (* (sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3)))) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 6 branch expressions: (h g (- g) (/ (- g) h) (acos (/ (- g) h)) (/ (acos (/ (- g) h)) 3)) * * * * [misc]regimes: Trying to branch on h from (# # #) * * * * [misc]regimes: Trying to branch on g from (# # #) * * * * [misc]regimes: Trying to branch on (- g) from (# # #) * * * * [misc]regimes: Trying to branch on (/ (- g) h) from (# # #) * * * * [misc]regimes: Trying to branch on (acos (/ (- g) h)) from (# # #) * * * * [misc]regimes: Trying to branch on (/ (acos (/ (- g) h)) 3) from (# # #) * * * [misc]regime: Found split indices: #