* [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 125 additional inputs, on iter 1 have 131 / 256 * * * * [misc]points: Computing exacts on every 7 of 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 125 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 61 additional inputs, on iter 2 have 195 / 256 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 61 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 3 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 4 have 242 / 256 * * * * [misc]points: Computing exacts for 14 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 7 additional inputs, on iter 5 have 249 / 256 * * * * [misc]points: Computing exacts for 7 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 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 5 * * [misc]simplify: Extracting #6: cost 9 inf + 131 * * [misc]simplify: Extracting #7: cost 9 inf + 132 * * [misc]simplify: Extracting #8: cost 8 inf + 133 * * [misc]simplify: Extracting #9: cost 4 inf + 470 * * [misc]simplify: Extracting #10: cost 2 inf + 978 * * [misc]simplify: Extracting #11: cost 0 inf + 1729 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 147 * * [misc]simplify: Extracting #5: cost 8 inf + 147 * * [misc]simplify: Extracting #6: cost 8 inf + 148 * * [misc]simplify: Extracting #7: cost 7 inf + 149 * * [misc]simplify: Extracting #8: cost 4 inf + 314 * * [misc]simplify: Extracting #9: cost 1 inf + 972 * * [misc]simplify: Extracting #10: cost 0 inf + 1387 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 45 * * [misc]simplify: Extracting #5: cost 9 inf + 459 * * [misc]simplify: Extracting #6: cost 12 inf + 459 * * [misc]simplify: Extracting #7: cost 12 inf + 460 * * [misc]simplify: Extracting #8: cost 8 inf + 626 * * [misc]simplify: Extracting #9: cost 6 inf + 1041 * * [misc]simplify: Extracting #10: cost 1 inf + 3034 * * [misc]simplify: Extracting #11: cost 0 inf + 3484 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 4 * * [misc]simplify: Extracting #6: cost 8 inf + 169 * * [misc]simplify: Extracting #7: cost 6 inf + 171 * * [misc]simplify: Extracting #8: cost 4 inf + 345 * * [misc]simplify: Extracting #9: cost 2 inf + 773 * * [misc]simplify: Extracting #10: cost 0 inf + 1444 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 157 * * [misc]simplify: Extracting #5: cost 10 inf + 157 * * [misc]simplify: Extracting #6: cost 10 inf + 158 * * [misc]simplify: Extracting #7: cost 9 inf + 159 * * [misc]simplify: Extracting #8: cost 6 inf + 324 * * [misc]simplify: Extracting #9: cost 1 inf + 1529 * * [misc]simplify: Extracting #10: cost 0 inf + 1894 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 45 * * [misc]simplify: Extracting #4: cost 7 inf + 45 * * [misc]simplify: Extracting #5: cost 7 inf + 46 * * [misc]simplify: Extracting #6: cost 6 inf + 47 * * [misc]simplify: Extracting #7: cost 0 inf + 892 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 45 * * [misc]simplify: Extracting #4: cost 7 inf + 45 * * [misc]simplify: Extracting #5: cost 7 inf + 46 * * [misc]simplify: Extracting #6: cost 6 inf + 47 * * [misc]simplify: Extracting #7: cost 0 inf + 892 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 3 * * [misc]simplify: Extracting #3: cost 0 inf + 88 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 3 * * [misc]simplify: Extracting #3: cost 0 inf + 88 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 883 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 551 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 46 * * [misc]simplify: Extracting #7: cost 9 inf + 47 * * [misc]simplify: Extracting #8: cost 8 inf + 48 * * [misc]simplify: Extracting #9: cost 5 inf + 213 * * [misc]simplify: Extracting #10: cost 0 inf + 1644 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 8 inf + 171 * * [misc]simplify: Extracting #7: cost 1 inf + 1019 * * [misc]simplify: Extracting #8: cost 0 inf + 1374 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 8 inf + 171 * * [misc]simplify: Extracting #7: cost 1 inf + 1019 * * [misc]simplify: Extracting #8: cost 0 inf + 1374 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 8 inf + 171 * * [misc]simplify: Extracting #7: cost 1 inf + 1019 * * [misc]simplify: Extracting #8: cost 0 inf + 1374 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 45 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 5 inf + 215 * * [misc]simplify: Extracting #6: cost 3 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1019 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 45 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 5 inf + 215 * * [misc]simplify: Extracting #6: cost 3 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1019 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 45 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 5 inf + 215 * * [misc]simplify: Extracting #6: cost 3 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1019 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 171 * * [misc]simplify: Extracting #5: cost 0 inf + 680 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 171 * * [misc]simplify: Extracting #5: cost 0 inf + 680 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 171 * * [misc]simplify: Extracting #5: cost 0 inf + 680 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 270 * * [misc]simplify: Extracting #5: cost 7 inf + 270 * * [misc]simplify: Extracting #6: cost 5 inf + 272 * * [misc]simplify: Extracting #7: cost 2 inf + 619 * * [misc]simplify: Extracting #8: cost 0 inf + 1227 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 270 * * [misc]simplify: Extracting #5: cost 7 inf + 270 * * [misc]simplify: Extracting #6: cost 5 inf + 272 * * [misc]simplify: Extracting #7: cost 2 inf + 619 * * [misc]simplify: Extracting #8: cost 0 inf + 1227 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 147 * * [misc]simplify: Extracting #5: cost 7 inf + 147 * * [misc]simplify: Extracting #6: cost 5 inf + 149 * * [misc]simplify: Extracting #7: cost 0 inf + 1104 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 42 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 169 * * [misc]simplify: Extracting #5: cost 7 inf + 129 * * [misc]simplify: Extracting #6: cost 4 inf + 173 * * [misc]simplify: Extracting #7: cost 1 inf + 733 * * [misc]simplify: Extracting #8: cost 0 inf + 1048 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 169 * * [misc]simplify: Extracting #5: cost 7 inf + 129 * * [misc]simplify: Extracting #6: cost 4 inf + 173 * * [misc]simplify: Extracting #7: cost 1 inf + 733 * * [misc]simplify: Extracting #8: cost 0 inf + 1048 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 169 * * [misc]simplify: Extracting #5: cost 7 inf + 129 * * [misc]simplify: Extracting #6: cost 4 inf + 173 * * [misc]simplify: Extracting #7: cost 1 inf + 733 * * [misc]simplify: Extracting #8: cost 0 inf + 1048 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 1 * * [misc]simplify: Extracting #3: cost 88 inf + 5 * * [misc]simplify: Extracting #4: cost 81 inf + 703 * * [misc]simplify: Extracting #5: cost 66 inf + 2097 * * [misc]simplify: Extracting #6: cost 63 inf + 2507 * * [misc]simplify: Extracting #7: cost 57 inf + 3111 * * [misc]simplify: Extracting #8: cost 33 inf + 12652 * * [misc]simplify: Extracting #9: cost 3 inf + 25098 * * [misc]simplify: Extracting #10: cost 0 inf + 26366 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 1 * * [misc]simplify: Extracting #3: cost 88 inf + 5 * * [misc]simplify: Extracting #4: cost 81 inf + 703 * * [misc]simplify: Extracting #5: cost 66 inf + 2097 * * [misc]simplify: Extracting #6: cost 63 inf + 2507 * * [misc]simplify: Extracting #7: cost 57 inf + 3111 * * [misc]simplify: Extracting #8: cost 33 inf + 12652 * * [misc]simplify: Extracting #9: cost 3 inf + 25098 * * [misc]simplify: Extracting #10: cost 0 inf + 26366 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 1 * * [misc]simplify: Extracting #3: cost 88 inf + 5 * * [misc]simplify: Extracting #4: cost 81 inf + 703 * * [misc]simplify: Extracting #5: cost 66 inf + 2097 * * [misc]simplify: Extracting #6: cost 63 inf + 2507 * * [misc]simplify: Extracting #7: cost 57 inf + 3111 * * [misc]simplify: Extracting #8: cost 33 inf + 12652 * * [misc]simplify: Extracting #9: cost 3 inf + 25098 * * [misc]simplify: Extracting #10: cost 0 inf + 26366 * [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 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 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 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 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: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 46 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 147 * * [misc]simplify: Extracting #5: cost 8 inf + 147 * * [misc]simplify: Extracting #6: cost 8 inf + 148 * * [misc]simplify: Extracting #7: cost 7 inf + 149 * * [misc]simplify: Extracting #8: cost 4 inf + 314 * * [misc]simplify: Extracting #9: cost 1 inf + 972 * * [misc]simplify: Extracting #10: cost 0 inf + 1387 * [exit]simplify: Simplified to (* (cos (/ PI 3/2)) (cos (/ (acos (/ (- g) h)) 3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (cbrt (- (* (cos (/ PI 3/2)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (acos (/ (- g) h)) 3)) (sin (/ PI 3/2)))))) 2)) * * * * [misc]progress: [ 32 / 46 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 45 * * [misc]simplify: Extracting #5: cost 9 inf + 459 * * [misc]simplify: Extracting #6: cost 12 inf + 459 * * [misc]simplify: Extracting #7: cost 12 inf + 460 * * [misc]simplify: Extracting #8: cost 8 inf + 626 * * [misc]simplify: Extracting #9: cost 6 inf + 1041 * * [misc]simplify: Extracting #10: cost 1 inf + 3034 * * [misc]simplify: Extracting #11: cost 0 inf + 3484 * [exit]simplify: Simplified to (* (cos (- (/ (asin (- (/ g h))) 3) (/ PI 3/2))) (/ (sqrt 3) 2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (cbrt (+ (* (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: [ 33 / 46 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 4 * * [misc]simplify: Extracting #6: cost 8 inf + 169 * * [misc]simplify: Extracting #7: cost 6 inf + 171 * * [misc]simplify: Extracting #8: cost 4 inf + 345 * * [misc]simplify: Extracting #9: cost 2 inf + 773 * * [misc]simplify: Extracting #10: cost 0 inf + 1444 * [exit]simplify: Simplified to (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (cbrt (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))))) 2)) * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 46 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 8 inf + 171 * * [misc]simplify: Extracting #7: cost 1 inf + 1019 * * [misc]simplify: Extracting #8: cost 0 inf + 1374 * [exit]simplify: Simplified to (cos (+ (* 1/3 (acos (/ (- g) h))) (* PI 2/3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (cbrt (cos (+ (* 1/3 (acos (/ (- g) h))) (* PI 2/3))))) 2)) * * * * [misc]progress: [ 45 / 46 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 8 inf + 171 * * [misc]simplify: Extracting #7: cost 1 inf + 1019 * * [misc]simplify: Extracting #8: cost 0 inf + 1374 * [exit]simplify: Simplified to (cos (+ (* 1/3 (acos (/ (- g) h))) (* PI 2/3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (cbrt (cos (+ (* 1/3 (acos (/ (- g) h))) (* PI 2/3))))) 2)) * * * * [misc]progress: [ 46 / 46 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 8 inf + 171 * * [misc]simplify: Extracting #7: cost 1 inf + 1019 * * [misc]simplify: Extracting #8: cost 0 inf + 1374 * [exit]simplify: Simplified to (cos (+ (* 1/3 (acos (/ (- g) h))) (* PI 2/3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (cbrt (cos (+ (* 1/3 (acos (/ (- g) h))) (* PI 2/3))))) 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * * * * [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 # * * * * [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 # * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * * * [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) from (# # #) * * * * [misc]regimes: Trying to branch on (/ (- g) h) 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)) from (# # #) * * * * [misc]regimes: Trying to branch on (/ (acos (/ (- g) h)) 3) from (# # # #) * * * * [misc]regimes: Trying to branch on (/ (acos (/ (- g) h)) 3) from (# # #) * * * [misc]regime: Found split indices: #