* [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: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 113 additional inputs, on iter 1 have 143 / 256 * * * * [misc]points: Computing exacts on every 7 of 113 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 113 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 113 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 56 additional inputs, on iter 2 have 200 / 256 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 56 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 3 have 232 / 256 * * * * [misc]points: Computing exacts for 24 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 4 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 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 2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (+ (- g) (sqrt (- (* g g) (* h h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (- g) (sqrt (- (* g g) (* h h)))) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- g) (sqrt (- (* g g) (* h h)))) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- g) (sqrt (- (* g g) (* h h)))) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (sqrt (- (pow h 2)))) into (sqrt (- (pow h 2))) * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt (- (pow h 2))))) into (* 1/2 (/ 1 (sqrt (- (pow h 2))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (pow h 2))))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) (* h 1)) (* -1 (* 1 g))) into (- (* (sqrt -1) h) g) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow h 2))) into (- (* 1/2 (/ 1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow h 2))) into (- (* 1/2 (/ 1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 (/ 1 (/ 1 (- g))))) into (* -2 g) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- (- g) (sqrt (- (* g g) (* h h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (- g) (sqrt (- (* g g) (* h h)))) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (- (- g) (sqrt (- (* g g) (* h h)))) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (- (- g) (sqrt (- (* g g) (* h h)))) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt (- (pow h 2)))) into (- (sqrt (- (pow h 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (sqrt (- (pow h 2))))) into (- (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (- (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (sqrt -1)) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (- (sqrt -1)) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt (- (pow h 2))))) into (- (* 1/2 (/ 1 (sqrt (- (pow h 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt (- (pow h 2))))))) into (- (* 1/2 (/ 1 (sqrt (- (pow h 2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (sqrt (- (pow h 2)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (pow h 2))))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (sqrt -1)) (* h 1)) (* -1 (* 1 g))) into (- (+ (* (sqrt -1) h) g)) * [misc]approximate: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]taylor: Taking taylor expansion of -2 in h * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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 -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ -1/2 (pow h 2))) into (* 1/2 (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (pow h 2)))) into (* 1/2 (/ 1 (pow h 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* 1 (/ 1 (/ 1 g)))) into (* -2 g) * [misc]approximate: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ -1/2 (pow h 2))) into (* 1/2 (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (pow h 2)))) into (* 1/2 (/ 1 (pow h 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h))))))))) * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (* (sqrt (+ h g)) (sqrt (- g h)))))))) * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))))) * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (fabs (sqrt (- (* g g) (* h h))))))))) * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (sqrt (+ h g)) (sqrt (- g h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (fabs (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- g)) (exp (sqrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (* (+ g h) (- g h))) g)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (log (exp (- (sqrt (* (+ g h) (- g h))) g))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- g) (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (sqrt (- (* g g) (* h h))) g) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (* 1 (- (sqrt (- (* g g) (* h h))) g)))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- g)) (exp (sqrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (exp (- (- g) (sqrt (* (+ g h) (- g h))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (log (exp (- (- g) (sqrt (* (+ g h) (- g h)))))))))) * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (* (+ g h) (- g h)))) (sqrt (- g))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (+ (sqrt (sqrt (* (+ g h) (- g h)))) (sqrt (- g))) (- (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h)))))))))) * [enter]simplify: Simplifying (- (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h))))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (+ (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h))))) (- (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h)))))))))) * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (* (+ g h) (- g h)))) (sqrt (- g))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (+ (sqrt (sqrt (* (+ g h) (- g h)))) (sqrt (- g))) (- (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h)))))))))) * [enter]simplify: Simplifying (- (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h))))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (+ (sqrt (- g)) (sqrt (sqrt (- (* g g) (* h h))))) (- (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h)))))))))) * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- g) (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (- (- g) (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* 1 (- (- g) (sqrt (- (* g g) (* h h))))))))) * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (* h (sqrt -1))))))) * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) g))))) * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (- g)))))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* h (sqrt -1))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) g))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (- g)))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt -1) h) g) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (* h (sqrt -1)) g) * [misc]simplify: Simplified (2 1 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (- (* h (sqrt -1)) g))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) 0)) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* -2 g) * [misc]simplify: Simplified (2 1 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (* -2 g))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt -1) h) g)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (- g) (* h (sqrt -1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (* h (sqrt -1))))))) * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* -2 g) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* -2 g))))) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) 0)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in h * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in h * [misc]taylor: Taking taylor expansion of (+ g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* g -1) (* 1 g)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 1) (* 0 (- h)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow h 2))))) into (/ 1/2 (sqrt (* -1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow h 2)))))))) (* 2 (sqrt (* -1 (pow h 2))))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 g)) (* (/ 1 g) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) (- (/ 1 h))) (* 0 1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) 0) (+ (* 0 (- (/ 1 h))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 g))) (* (- (/ 1 g)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) (/ 1 h)) (* 0 -1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) 0) (+ (* 0 (/ 1 h)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in h * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in h * [misc]taylor: Taking taylor expansion of (+ g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* g -1) (* 1 g)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 1) (* 0 (- h)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow h 2))))) into (/ 1/2 (sqrt (* -1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow h 2)))))))) (* 2 (sqrt (* -1 (pow h 2))))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 g)) (* (/ 1 g) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) (- (/ 1 h))) (* 0 1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) 0) (+ (* 0 (- (/ 1 h))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 g))) (* (- (/ 1 g)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) (/ 1 h)) (* 0 -1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) 0) (+ (* 0 (/ 1 h)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (* (+ g h) (- g h))) g) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ g h) (- g h))) g) in h * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in h * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in h * [misc]taylor: Taking taylor expansion of (+ g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* g -1) (* 1 g)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ g h) (- g h))) g) in g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ g h) (- g h))) g) in g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqrt (* -1 (pow h 2))) 0) into (sqrt (* -1 (pow h 2))) * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 1) (* 0 (- h)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow h 2))))) into (/ 1/2 (sqrt (* -1 (pow h 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt (* -1 (pow h 2)))) 0) into (* 1/2 (/ 1 (sqrt (* -1 (pow h 2))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (* -1 (pow h 2))))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (* -1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow h 2)))))))) (* 2 (sqrt (* -1 (pow h 2))))) 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 (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) (* h 1)) (* -1 (* 1 g))) into (- (* (sqrt -1) h) g) * [misc]approximate: Taking taylor expansion of (- (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) (/ 1 g)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 g)) (* (/ 1 g) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) (- (/ 1 h))) (* 0 1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow h 2)) 0) into (- (* 1/2 (/ 1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) 0) (+ (* 0 (- (/ 1 h))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (- (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) (/ 1 (- g))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 g))) (* (- (/ 1 g)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) (/ 1 h)) (* 0 -1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow h 2)) 0) into (- (* 1/2 (/ 1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) 0) (+ (* 0 (/ 1 h)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 (/ 1 (/ 1 (- g))))) into (* -2 g) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (- (- g) (sqrt (* (+ g h) (- g h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (- g) (sqrt (* (+ g h) (- g h)))) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in h * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in h * [misc]taylor: Taking taylor expansion of (+ g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- g h) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ g 0) into g * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* g -1) (* 1 g)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (- (- g) (sqrt (* (+ g h) (- g h)))) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (- (- g) (sqrt (* (+ g h) (- g h)))) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ g h) (- g h))) in g * [misc]taylor: Taking taylor expansion of (* (+ g h) (- g h)) in g * [misc]taylor: Taking taylor expansion of (+ g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of (- g h) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (+ 0 h) into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (+ 0 (- h)) into (- h) * [misc]backup-simplify: Simplify (* h (- h)) into (* -1 (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow h 2))) into (sqrt (* -1 (pow h 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* h 1) (* 1 (- h))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow h 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt (* -1 (pow h 2)))) into (- (sqrt (* -1 (pow h 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (sqrt (* -1 (pow h 2))))) into (- (sqrt (* -1 (pow h 2)))) * [misc]taylor: Taking taylor expansion of (- (sqrt (* -1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (sqrt -1)) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (- (sqrt -1)) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 1) (* 0 (- h)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow h 2))))) into (/ 1/2 (sqrt (* -1 (pow h 2)))) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt (* -1 (pow h 2))))) into (- (* 1/2 (/ 1 (sqrt (* -1 (pow h 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt (* -1 (pow h 2))))))) into (- (* 1/2 (/ 1 (sqrt (* -1 (pow h 2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (sqrt (* -1 (pow h 2)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (* -1 (pow h 2))))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (* -1 (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (* -1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1 in h * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow h 2)))))))) (* 2 (sqrt (* -1 (pow h 2))))) 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 (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (sqrt -1)) (* h 1)) (* -1 (* 1 g))) into (- (+ (* (sqrt -1) h) g)) * [misc]approximate: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 g) 0) into (/ 1 g) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 g)) (* (/ 1 g) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 g)) (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 g) (/ 1 h)) (- (/ 1 g) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 g) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 h))) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 h))) (* (/ 1 h) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]taylor: Taking taylor expansion of -2 in h * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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 -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) (- (/ 1 h))) (* 0 1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ -1/2 (pow h 2))) into (* 1/2 (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (pow h 2)))) into (* 1/2 (/ 1 (pow h 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)) (* 0 (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 h) 0) (+ (* 0 (- (/ 1 h))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* 1 (/ 1 (/ 1 g)))) into (* -2 g) * [misc]approximate: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 g) 0) into (- (/ 1 g)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 g))) (* (- (/ 1 g)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- g))) (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- g)) (/ 1 (- h))) (- (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- g)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (+ 0 (/ 1 h)) into (/ 1 h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 h)) into (- (/ 1 h)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 h)) (* (- (/ 1 h)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) (/ 1 h)) (* 0 -1))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ -1/2 (pow h 2))) into (* 1/2 (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (pow h 2)))) into (* 1/2 (/ 1 (pow h 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow h 2))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))) (* 0 (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 h)) 0) (+ (* 0 (/ 1 h)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (* (sqrt (+ h g)) (sqrt (- g h)))) (* a 2))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (pow g 3) (pow h 3)) (- (pow g 3) (pow h 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow g 3) (pow h 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (+ (pow g 3) (pow h 3)) (- (pow g 3) (pow h 3)))) (sqrt (* (+ (* g g) (- (* h h) (* g h))) (+ (* g g) (+ (* h h) (* g h))))))) (* a 2))))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (pow g 3) (pow h 3)) (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ h g) (- g h)) (+ (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (* (+ h g) (- g h)) (+ (pow g 3) (pow h 3)))) (sqrt (* (+ (* g g) (- (* h h) (* g h))) (+ g h))))) (* a 2))))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* g g) (* h h)) (- (pow g 3) (pow h 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (- (* g g) (* h h)) (- (pow g 3) (pow h 3)))) (sqrt (* (- g h) (+ (* g g) (+ (* h h) (* g h))))))) (* a 2))))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* g g) (* h h)) (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * [exit]simplify: Simplified to (fabs (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (fabs (- (* g g) (* h h))) (sqrt (* (- g h) (+ g h))))) (* a 2))))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ g h) (- (pow g 3) (pow h 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (sqrt (* (- (pow g 3) (pow h 3)) (+ h g))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (- (pow g 3) (pow h 3)) (+ h g))) (sqrt (+ (* g g) (+ (* h h) (* g h)))))) (* a 2))))) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ g h) (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (- g h) (* (+ h g) (+ h g)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (- g h) (* (+ h g) (+ h g)))) (sqrt (+ g h)))) (* a 2))))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (pow g 3) (pow h 3)) (- g h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow g 3) (pow h 3)) (- g h))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (+ (pow g 3) (pow h 3)) (- g h))) (sqrt (+ (* g g) (- (* h h) (* g h)))))) (* a 2))))) * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* g g) (* h h)) (- g h))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (sqrt (* (+ g h) (* (- g h) (- g h)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (/ (sqrt (* (+ g h) (* (- g h) (- g h)))) (sqrt (- g h)))) (* a 2))))) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (* (sqrt (+ h g)) (sqrt (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (pow g 3) (pow h 3)) (- (pow g 3) (pow h 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow g 3) (pow h 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (+ (pow g 3) (pow h 3)) (- (pow g 3) (pow h 3)))) (sqrt (* (+ (* g g) (- (* h h) (* g h))) (+ (* g g) (+ (* h h) (* g h)))))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (pow g 3) (pow h 3)) (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ h g) (- g h)) (+ (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (* (+ h g) (- g h)) (+ (pow g 3) (pow h 3)))) (sqrt (* (+ (* g g) (- (* h h) (* g h))) (+ g h)))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* g g) (* h h)) (- (pow g 3) (pow h 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (- (* g g) (* h h)) (- (pow g 3) (pow h 3)))) (sqrt (* (- g h) (+ (* g g) (+ (* h h) (* g h)))))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* g g) (* h h)) (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * [exit]simplify: Simplified to (fabs (- (* g g) (* h h))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (fabs (- (* g g) (* h h))) (sqrt (* (- g h) (+ g h)))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ g h) (- (pow g 3) (pow h 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (sqrt (* (- (pow g 3) (pow h 3)) (+ h g))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (- (pow g 3) (pow h 3)) (+ h g))) (sqrt (+ (* g g) (+ (* h h) (* g h))))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ g h) (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (- g h) (* (+ h g) (+ h g)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (- g h) (* (+ h g) (+ h g)))) (sqrt (+ g h))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (pow g 3) (pow h 3)) (- g h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow g 3) (pow h 3)) (- g h))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (+ (pow g 3) (pow h 3)) (- g h))) (sqrt (+ (* g g) (- (* h h) (* g h))))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* g g) (* h h)) (- g h))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (sqrt (* (+ g h) (* (- g h) (- g h)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (/ (sqrt (* (+ g h) (* (- g h) (- g h)))) (sqrt (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- g)) (exp (sqrt (* (+ g h) (- g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (exp (- (- g) (sqrt (* (+ h g) (- g h))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (log (exp (- (- g) (sqrt (* (+ h g) (- g h)))))) (* a 2))))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (* (+ h g) (- g h)))) (sqrt (- g))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (* (+ (sqrt (sqrt (* (+ h g) (- g h)))) (sqrt (- g))) (- (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h)))))) (* a 2))))) * [enter]simplify: Simplifying (- (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (sqrt (- g)) (sqrt (sqrt (* (+ h g) (- g h))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (* (+ (sqrt (- g)) (sqrt (sqrt (* (+ g h) (- g h))))) (- (sqrt (- g)) (sqrt (sqrt (* (+ h g) (- g h)))))) (* a 2))))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- g) (sqrt (* (+ g h) (- g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (- (- g) (sqrt (* (+ g h) (- g h)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (* 1 (- (- g) (sqrt (* (+ g h) (- g h))))) (* a 2))))) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (* h (sqrt -1))) (* a 2))))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) g) (* a 2))))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (- g)) (* a 2))))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (* h (sqrt -1)) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- g g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (- g) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt -1) h) g) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (* h (sqrt -1)) g) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h a) (+ (cbrt (/ (- (* h (sqrt -1)) g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1) to (λ (g h a) (+ (cbrt (/ 0 (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* -2 g) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h a) (+ (cbrt (/ (* -2 g) (* a 2))) (cbrt (/ (- (- g) (sqrt (* (+ g h) (- g h)))) (* a 2))))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt -1) h) g)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (- g) (* h (sqrt -1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (- (- g) (* h (sqrt -1))) (* a 2))))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* -2 g) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ (* -2 g) (* a 2))))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (g h a) (+ (cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2))) (cbrt (/ 0 (* a 2))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h))))))))))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (sqrt (+ h g)) (sqrt (- g h)))))))))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))))))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))))))) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (fabs (sqrt (- (* g g) (* h h))))))))))) * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (sqrt (+ h g)) (sqrt (- g h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (fabs (sqrt (- (* g g) (* h h))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (* (sqrt (+ h g)) (sqrt (- g h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h)))))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (fabs (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* (sqrt (+ h g)) (sqrt (- g h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (fabs (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* h (sqrt -1))))))))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) g))))))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (- g)))))))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* h (sqrt -1))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 1 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) g))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (- g)))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (* h (sqrt -1)))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 1 1 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) g)) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 1 1 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (- g))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (* h (sqrt -1))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) g))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (- g)))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in h * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in h * [misc]taylor: Taking taylor expansion of (* g g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]taylor: Taking taylor expansion of (* h h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* g g) into (pow g 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow g 2) 0) into (pow g 2) * [misc]backup-simplify: Simplify (sqrt (pow g 2)) into g * [misc]backup-simplify: Simplify (+ (* g 0) (* 0 g)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow g 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* g g) (* h h))) in g * [misc]taylor: Taking taylor expansion of (- (* g g) (* h h)) in g * [misc]taylor: Taking taylor expansion of (* g g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* h h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* h h) into (pow h 2) * [misc]backup-simplify: Simplify (- (pow h 2)) into (- (pow h 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow h 2))) into (- (pow h 2)) * [misc]backup-simplify: Simplify (sqrt (- (pow h 2))) into (sqrt (- (pow h 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (* 0 h)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (pow h 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) 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 (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (* 0 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow h 2))))) into (/ 1/2 (sqrt (- (pow h 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (pow h 2)))) in h * [misc]taylor: Taking taylor expansion of 1/2 in h * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (pow h 2))) in h * [misc]taylor: Taking taylor expansion of (- (pow h 2)) in h * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* h 0) (+ (* 0 0) (+ (* 0 0) (* 0 h)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow h 2)))))))) (* 2 (sqrt (- (pow h 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* h 1)) into (* (sqrt -1) h) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in h * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (/ 1 g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (/ 1 g) into (/ 1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in h * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h)))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 g) (/ 1 g)) (* (/ 1 h) (/ 1 h))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 g) (/ 1 g)) in g * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 h) (/ 1 h)) in g * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]taylor: Taking taylor expansion of (/ 1 h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (/ 1 h) into (/ 1 h) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 h) (/ 1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 h) (/ 0 h)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 h) 0) (* 0 (/ 1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 g)))) into g * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in h * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in h * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in h * [misc]taylor: Taking taylor expansion of (- g) in h * [misc]taylor: Taking taylor expansion of g in h * [misc]backup-simplify: Simplify g into g * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (- g) into (- g) * [misc]backup-simplify: Simplify (/ 1 (- g)) into (/ -1 g) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in h * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in h * [misc]taylor: Taking taylor expansion of (- h) in h * [misc]taylor: Taking taylor expansion of h in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h))))) in g * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- g)) (/ 1 (- g))) (* (/ 1 (- h)) (/ 1 (- h)))) in g * [misc]taylor: Taking taylor expansion of (* (/ 1 (- g)) (/ 1 (- g))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- g)) in g * [misc]taylor: Taking taylor expansion of (- g) in g * [misc]taylor: Taking taylor expansion of g in g * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- h)) (/ 1 (- h))) in g * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]taylor: Taking taylor expansion of (/ 1 (- h)) in g * [misc]taylor: Taking taylor expansion of (- h) in g * [misc]taylor: Taking taylor expansion of h in g * [misc]backup-simplify: Simplify h into h * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (/ 1 (- h)) into (/ -1 h) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 h) (/ -1 h)) into (/ 1 (pow h 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow h 2))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow h 2)))) into (- (/ 1 (pow h 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow h 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow h 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow h 2)) in h * [misc]taylor: Taking taylor expansion of -1/2 in h * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow h 2) in h * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- h) into (- h) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 h) (/ 0 (- h))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 h) 0) (* 0 (/ -1 h))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow h 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- g))))) into (* -1 g) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))))))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))))))))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (* (sqrt 1) (sqrt (- (* g g) (* h h))))))))))))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (* (sqrt (+ h g)) (sqrt (- g h)))))))))))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))))))))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))))))))) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (fabs (sqrt (- (* g g) (* h h))))))))))))) * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h))))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h))))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (* (sqrt 1) (sqrt (- (* g g) (* h h)))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (* (sqrt (+ h g)) (sqrt (- g h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h)))))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h)))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (fabs (sqrt (- (* g g) (* h h)))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (* (sqrt 1) (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (* (sqrt (+ h g)) (sqrt (- g h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (fabs (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (fabs (cbrt (- (* g g) (* h h)))) (sqrt (cbrt (- (* g g) (* h h)))))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* g g) (* h h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (sqrt (sqrt (- (* g g) (* h h)))) (sqrt (sqrt (- (* g g) (* h h)))))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (sqrt 1) (sqrt (- (* g g) (* h h))))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ g h)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ h g)) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* (sqrt (+ h g)) (sqrt (- g h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* g g) 3) (pow (* h h) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (/ (sqrt (* (+ (pow h 3) (pow g 3)) (- (pow g 3) (pow h 3)))) (sqrt (+ (* (* g g) (* g g)) (+ (* (* h h) (* h h)) (* (* g g) (* h h))))))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (/ (sqrt (* (- (* g g) (* h h)) (+ (* g g) (* h h)))) (sqrt (+ (* g g) (* h h))))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* g g) (* h h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* g g) (* h h))) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (fabs (sqrt (- (* g g) (* h h))))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (* h (sqrt -1))))))))))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt g))))))))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 2 1 2 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (- g)))))))))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (* h (sqrt -1)))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt g)) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (- g))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (* h (sqrt -1))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt g) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (- (- g) (* (* (cbrt (- g)) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) h) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* h (sqrt -1)) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (* h (sqrt -1))))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying g * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to g * [misc]simplify: Simplified (2 2 1 2 1 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) g))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 g) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- g) * [misc]simplify: Simplified (2 2 1 2 1 2 1 2) to (λ (g h a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (* (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (- g)))) (cbrt (- (- g) (* (* (cbrt (sqrt (- (* g g) (* h h)))) (cbrt (sqrt (- (* g g) (* h h))))) (cbrt (sqrt (- (* g g) (* h h)))))))))))) * * * [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 (* h h) g a (* 2 a) (/ 1 (* 2 a))) * * * * [misc]regimes: Trying to branch on h from (# # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* h h) from (# # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on g from (# # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* 2 a) from (# # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ 1 (* 2 a)) from (# # # # # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #