* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [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 (/ (- x lo) (- hi lo)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- x lo) (- hi lo)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- x lo) (- hi lo)) in (x lo hi) around 0 * [misc]taylor: Taking taylor expansion of (/ (- x lo) (- hi lo)) in hi * [misc]taylor: Taking taylor expansion of (- x lo) in hi * [misc]taylor: Taking taylor expansion of x in hi * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of lo in hi * [misc]backup-simplify: Simplify lo into lo * [misc]taylor: Taking taylor expansion of (- hi lo) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lo in hi * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (+ x (- lo)) into (- x lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (+ 0 (- lo)) into (- lo) * [misc]backup-simplify: Simplify (/ (- x lo) (- lo)) into (* -1 (/ (- x lo) lo)) * [misc]taylor: Taking taylor expansion of (/ (- x lo) (- hi lo)) in lo * [misc]taylor: Taking taylor expansion of (- x lo) in lo * [misc]taylor: Taking taylor expansion of x in lo * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- hi lo) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ hi 0) into hi * [misc]backup-simplify: Simplify (/ x hi) into (/ x hi) * [misc]taylor: Taking taylor expansion of (/ (- x lo) (- hi lo)) in x * [misc]taylor: Taking taylor expansion of (- x lo) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]taylor: Taking taylor expansion of (- hi lo) in x * [misc]taylor: Taking taylor expansion of hi in x * [misc]backup-simplify: Simplify hi into hi * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (+ 0 (- lo)) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (+ hi (- lo)) into (- hi lo) * [misc]backup-simplify: Simplify (/ (- lo) (- hi lo)) into (* -1 (/ lo (- hi lo))) * [misc]taylor: Taking taylor expansion of (/ (- x lo) (- hi lo)) in x * [misc]taylor: Taking taylor expansion of (- x lo) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]taylor: Taking taylor expansion of (- hi lo) in x * [misc]taylor: Taking taylor expansion of hi in x * [misc]backup-simplify: Simplify hi into hi * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (+ 0 (- lo)) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (+ hi (- lo)) into (- hi lo) * [misc]backup-simplify: Simplify (/ (- lo) (- hi lo)) into (* -1 (/ lo (- hi lo))) * [misc]taylor: Taking taylor expansion of (* -1 (/ lo (- hi lo))) in lo * [misc]taylor: Taking taylor expansion of -1 in lo * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ lo (- hi lo)) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- hi lo) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ hi 0) into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (- hi lo)) (+ (* (* -1 (/ lo (- hi lo))) (/ 0 (- hi lo))))) into (/ 1 (- hi lo)) * [misc]taylor: Taking taylor expansion of (/ 1 (- hi lo)) in lo * [misc]taylor: Taking taylor expansion of (- hi lo) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ hi 0) into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ 1 hi)) into (/ -1 hi) * [misc]taylor: Taking taylor expansion of (/ -1 hi) in hi * [misc]taylor: Taking taylor expansion of -1 in hi * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of hi in hi * [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) (+ (* -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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- hi lo)) (+ (* (* -1 (/ lo (- hi lo))) (/ 0 (- hi lo))) (* (/ 1 (- hi lo)) (/ 0 (- hi lo))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in hi * [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 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 hi) (/ -1 hi)))) into (/ 1 (pow hi 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow hi 2)) in hi * [misc]taylor: Taking taylor expansion of (pow hi 2) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 hi) (+ (* (/ 1 hi) (/ -1 hi)))) into (/ 1 (pow hi 2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (pow hi 2))) (* 0 (/ 1 hi))) into (- (/ 1 (pow hi 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow hi 2))) in hi * [misc]taylor: Taking taylor expansion of (/ 1 (pow hi 2)) in hi * [misc]taylor: Taking taylor expansion of (pow hi 2) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 lo)) (- (/ 1 hi) (/ 1 lo))) in (x lo hi) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 lo)) (- (/ 1 hi) (/ 1 lo))) in hi * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 lo)) in hi * [misc]taylor: Taking taylor expansion of (/ 1 x) in hi * [misc]taylor: Taking taylor expansion of x in hi * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in hi * [misc]taylor: Taking taylor expansion of lo in hi * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (/ 1 lo) into (/ 1 lo) * [misc]taylor: Taking taylor expansion of (- (/ 1 hi) (/ 1 lo)) in hi * [misc]taylor: Taking taylor expansion of (/ 1 hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 lo) in hi * [misc]taylor: Taking taylor expansion of lo in hi * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (/ 1 lo) into (/ 1 lo) * [misc]backup-simplify: Simplify (- (/ 1 lo)) into (- (/ 1 lo)) * [misc]backup-simplify: Simplify (+ (/ 1 x) (- (/ 1 lo))) into (- (/ 1 x) (/ 1 lo)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (/ 1 x) (/ 1 lo)) 1) into (- (/ 1 x) (/ 1 lo)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 lo)) (- (/ 1 hi) (/ 1 lo))) in lo * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 lo)) in lo * [misc]taylor: Taking taylor expansion of (/ 1 x) in lo * [misc]taylor: Taking taylor expansion of x in lo * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [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 hi) (/ 1 lo)) in lo * [misc]taylor: Taking taylor expansion of (/ 1 hi) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [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 (+ 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]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 lo)) (- (/ 1 hi) (/ 1 lo))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 lo)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (/ 1 lo) into (/ 1 lo) * [misc]taylor: Taking taylor expansion of (- (/ 1 hi) (/ 1 lo)) in x * [misc]taylor: Taking taylor expansion of (/ 1 hi) in x * [misc]taylor: Taking taylor expansion of hi in x * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (/ 1 lo) into (/ 1 lo) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 lo)) into (- (/ 1 lo)) * [misc]backup-simplify: Simplify (+ (/ 1 hi) (- (/ 1 lo))) into (- (/ 1 hi) (/ 1 lo)) * [misc]backup-simplify: Simplify (/ 1 (- (/ 1 hi) (/ 1 lo))) into (/ 1 (- (/ 1 hi) (/ 1 lo))) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 lo)) (- (/ 1 hi) (/ 1 lo))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 lo)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (/ 1 lo) into (/ 1 lo) * [misc]taylor: Taking taylor expansion of (- (/ 1 hi) (/ 1 lo)) in x * [misc]taylor: Taking taylor expansion of (/ 1 hi) in x * [misc]taylor: Taking taylor expansion of hi in x * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (/ 1 lo) into (/ 1 lo) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 lo)) into (- (/ 1 lo)) * [misc]backup-simplify: Simplify (+ (/ 1 hi) (- (/ 1 lo))) into (- (/ 1 hi) (/ 1 lo)) * [misc]backup-simplify: Simplify (/ 1 (- (/ 1 hi) (/ 1 lo))) into (/ 1 (- (/ 1 hi) (/ 1 lo))) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 hi) (/ 1 lo))) in lo * [misc]taylor: Taking taylor expansion of (- (/ 1 hi) (/ 1 lo)) in lo * [misc]taylor: Taking taylor expansion of (/ 1 hi) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lo)) into (- (/ 1 lo)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lo))) into (- (/ 1 lo)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 hi) (/ 0 hi)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lo) (/ 0 lo)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 lo)) (- (/ 1 hi) (/ 1 lo))) (+ (* (/ 1 (- (/ 1 hi) (/ 1 lo))) (/ 0 (- (/ 1 hi) (/ 1 lo)))))) into (- (/ 1 (* lo (- (/ 1 hi) (/ 1 lo))))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* lo (- (/ 1 hi) (/ 1 lo))))) in lo * [misc]taylor: Taking taylor expansion of (/ 1 (* lo (- (/ 1 hi) (/ 1 lo)))) in lo * [misc]taylor: Taking taylor expansion of (* lo (- (/ 1 hi) (/ 1 lo))) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 hi) (/ 1 lo)) in lo * [misc]taylor: Taking taylor expansion of (/ 1 hi) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 0 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 hi) 0) into (/ 1 hi) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 hi)) (* 1 -1)) into (- 1) * [misc]backup-simplify: Simplify (/ 1 (- 1)) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in hi * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of -1 in hi * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lo) (/ 0 lo)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 hi) (/ 0 hi)) (* 0 (/ 0 hi)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lo) (/ 0 lo)) (* 0 (/ 0 lo)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 hi) (/ 1 lo))) (+ (* (/ 1 (- (/ 1 hi) (/ 1 lo))) (/ 0 (- (/ 1 hi) (/ 1 lo)))) (* (- (/ 1 (* lo (- (/ 1 hi) (/ 1 lo))))) (/ 0 (- (/ 1 hi) (/ 1 lo)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in hi * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 hi) (/ 0 hi)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (/ 1 hi)) (* 0 -1))) into (/ 1 hi) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (/ 1 hi) (- 1))))) into (- (/ 1 hi)) * [misc]backup-simplify: Simplify (- (- (/ 1 hi))) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 (/ 0 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 hi) 0) into (/ 1 hi) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (/ 1 hi) -1)))) into (- (/ 1 hi)) * [misc]taylor: Taking taylor expansion of (- (/ 1 hi)) in hi * [misc]taylor: Taking taylor expansion of (/ 1 hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 (/ 0 1)))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- lo))) (- (/ 1 (- hi)) (/ 1 (- lo)))) in (x lo hi) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- lo))) (- (/ 1 (- hi)) (/ 1 (- lo)))) in hi * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- lo))) in hi * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in hi * [misc]taylor: Taking taylor expansion of (- x) in hi * [misc]taylor: Taking taylor expansion of x in hi * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- lo)) in hi * [misc]taylor: Taking taylor expansion of (- lo) in hi * [misc]taylor: Taking taylor expansion of lo in hi * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (/ 1 (- lo)) into (/ -1 lo) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- hi)) (/ 1 (- lo))) in hi * [misc]taylor: Taking taylor expansion of (/ 1 (- hi)) in hi * [misc]taylor: Taking taylor expansion of (- hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- lo)) in hi * [misc]taylor: Taking taylor expansion of (- lo) in hi * [misc]taylor: Taking taylor expansion of lo in hi * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (/ 1 (- lo)) into (/ -1 lo) * [misc]backup-simplify: Simplify (- (/ -1 lo)) into (/ 1 lo) * [misc]backup-simplify: Simplify (+ (/ -1 x) (/ 1 lo)) into (- (/ 1 lo) (/ 1 x)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 lo) (/ 1 x)) -1) into (* -1 (- (/ 1 lo) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- lo))) (- (/ 1 (- hi)) (/ 1 (- lo)))) in lo * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- lo))) in lo * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in lo * [misc]taylor: Taking taylor expansion of (- x) in lo * [misc]taylor: Taking taylor expansion of x in lo * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- lo)) in lo * [misc]taylor: Taking taylor expansion of (- lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- hi)) (/ 1 (- lo))) in lo * [misc]taylor: Taking taylor expansion of (/ 1 (- hi)) in lo * [misc]taylor: Taking taylor expansion of (- hi) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (/ 1 (- hi)) into (/ -1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 (- lo)) in lo * [misc]taylor: Taking taylor expansion of (- lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ 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]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- lo))) (- (/ 1 (- hi)) (/ 1 (- lo)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- lo))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- lo)) in x * [misc]taylor: Taking taylor expansion of (- lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (/ 1 (- lo)) into (/ -1 lo) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- hi)) (/ 1 (- lo))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- hi)) in x * [misc]taylor: Taking taylor expansion of (- hi) in x * [misc]taylor: Taking taylor expansion of hi in x * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (/ 1 (- hi)) into (/ -1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 (- lo)) in x * [misc]taylor: Taking taylor expansion of (- lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (/ 1 (- lo)) into (/ -1 lo) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ -1 lo)) into (/ 1 lo) * [misc]backup-simplify: Simplify (+ (/ -1 hi) (/ 1 lo)) into (- (/ 1 lo) (/ 1 hi)) * [misc]backup-simplify: Simplify (/ -1 (- (/ 1 lo) (/ 1 hi))) into (/ -1 (- (/ 1 lo) (/ 1 hi))) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- lo))) (- (/ 1 (- hi)) (/ 1 (- lo)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- lo))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- lo)) in x * [misc]taylor: Taking taylor expansion of (- lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (/ 1 (- lo)) into (/ -1 lo) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- hi)) (/ 1 (- lo))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- hi)) in x * [misc]taylor: Taking taylor expansion of (- hi) in x * [misc]taylor: Taking taylor expansion of hi in x * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (/ 1 (- hi)) into (/ -1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 (- lo)) in x * [misc]taylor: Taking taylor expansion of (- lo) in x * [misc]taylor: Taking taylor expansion of lo in x * [misc]backup-simplify: Simplify lo into lo * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (/ 1 (- lo)) into (/ -1 lo) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ -1 lo)) into (/ 1 lo) * [misc]backup-simplify: Simplify (+ (/ -1 hi) (/ 1 lo)) into (- (/ 1 lo) (/ 1 hi)) * [misc]backup-simplify: Simplify (/ -1 (- (/ 1 lo) (/ 1 hi))) into (/ -1 (- (/ 1 lo) (/ 1 hi))) * [misc]taylor: Taking taylor expansion of (/ -1 (- (/ 1 lo) (/ 1 hi))) in lo * [misc]taylor: Taking taylor expansion of -1 in lo * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lo) (/ 1 hi)) in lo * [misc]taylor: Taking taylor expansion of (/ 1 lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [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 hi) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 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 lo)) into (/ 1 lo) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lo)) into (/ 1 lo) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 hi) (/ 0 (- hi))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lo) (/ 0 (- lo))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 lo) (- (/ 1 lo) (/ 1 hi))) (+ (* (/ -1 (- (/ 1 lo) (/ 1 hi))) (/ 0 (- (/ 1 lo) (/ 1 hi)))))) into (/ 1 (* (- (/ 1 lo) (/ 1 hi)) lo)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (/ 1 lo) (/ 1 hi)) lo)) in lo * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lo) (/ 1 hi)) lo) in lo * [misc]taylor: Taking taylor expansion of (- (/ 1 lo) (/ 1 hi)) in lo * [misc]taylor: Taking taylor expansion of (/ 1 lo) in lo * [misc]taylor: Taking taylor expansion of lo in lo * [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 hi) in lo * [misc]taylor: Taking taylor expansion of hi in lo * [misc]backup-simplify: Simplify hi into hi * [misc]backup-simplify: Simplify (/ 1 hi) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of lo in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 hi)) into (- (/ 1 hi)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 hi))) into (- (/ 1 hi)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (- (/ 1 hi)) 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in hi * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of -1 in hi * [misc]backup-simplify: Simplify -1 into -1 * [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 (- lo) into (- lo) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lo) (/ 0 (- lo))))) 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 (- hi) into (- hi) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- hi) into (- hi) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 hi) (/ 0 (- hi))) (* 0 (/ 0 (- hi))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lo) into (- lo) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lo) (/ 0 (- lo))) (* 0 (/ 0 (- lo))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 lo) (/ 1 hi))) (+ (* (/ -1 (- (/ 1 lo) (/ 1 hi))) (/ 0 (- (/ 1 lo) (/ 1 hi)))) (* (/ 1 (* (- (/ 1 lo) (/ 1 hi)) lo)) (/ 0 (- (/ 1 lo) (/ 1 hi)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lo * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in hi * [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 hi) (/ 0 hi)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 hi)) 1) (* 0 0))) into (- (/ 1 hi)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 hi)) 1)))) into (/ 1 hi) * [misc]taylor: Taking taylor expansion of (/ 1 hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 (/ 0 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 hi)) into (- (/ 1 hi)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 hi))) into (- (/ 1 hi)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 hi)) 1)))) into (- (/ 1 hi)) * [misc]taylor: Taking taylor expansion of (- (/ 1 hi)) in hi * [misc]taylor: Taking taylor expansion of (/ 1 hi) in hi * [misc]taylor: Taking taylor expansion of hi in hi * [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 (/ 0 1)))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x lo)) (log (- hi lo))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (log (- x lo)) (log (- hi lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (exp (- (log (- x lo)) (log (- hi lo))))) * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x lo) (- x lo)) (- x lo)) (* (* (- hi lo) (- hi lo)) (- hi lo))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (pow (/ (- x lo) (- hi lo)) 3) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (cbrt (pow (/ (- x lo) (- hi lo)) 3))) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- hi lo)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ x (- hi lo)) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (- (/ x (- hi lo)) (/ lo (- hi lo)))) * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (* (cbrt (- hi lo)) (cbrt (- hi lo)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x lo)) (cbrt (- hi lo))) (/ (cbrt (- x lo)) (cbrt (- hi lo)))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (* (/ (cbrt (- x lo)) (cbrt (- hi lo))) (/ (cbrt (- x lo)) (cbrt (- hi lo)))) (/ (cbrt (- x lo)) (cbrt (- hi lo))))) * [enter]simplify: Simplifying (/ (cbrt (- x lo)) (cbrt (- hi lo))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x lo)) (cbrt (- hi lo))) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (* (cbrt (- hi lo)) (cbrt (- hi lo)))) (/ (cbrt (- x lo)) (cbrt (- hi lo))))) * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (sqrt (- hi lo))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (sqrt (- hi lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (sqrt (- hi lo))) (/ (cbrt (- x lo)) (sqrt (- hi lo))))) * [enter]simplify: Simplifying (/ (cbrt (- x lo)) (sqrt (- hi lo))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x lo)) (sqrt (- hi lo))) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (sqrt (- hi lo))) (/ (cbrt (- x lo)) (sqrt (- hi lo))))) * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x lo)) (cbrt (- x lo))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (- x lo)) (cbrt (- x lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (* (cbrt (- x lo)) (cbrt (- x lo))) (/ (cbrt (- x lo)) (- hi lo)))) * [enter]simplify: Simplifying (/ (cbrt (- x lo)) (- hi lo)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x lo)) (- hi lo)) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (* (cbrt (- x lo)) (cbrt (- x lo))) (/ (cbrt (- x lo)) (- hi lo)))) * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x lo)) (* (cbrt (- hi lo)) (cbrt (- hi lo)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- x lo)) (cbrt (- hi lo))) (cbrt (- hi lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (/ (/ (sqrt (- x lo)) (cbrt (- hi lo))) (cbrt (- hi lo))) (/ (sqrt (- x lo)) (cbrt (- hi lo))))) * [enter]simplify: Simplifying (/ (sqrt (- x lo)) (cbrt (- hi lo))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x lo)) (cbrt (- hi lo))) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ (sqrt (- x lo)) (* (cbrt (- hi lo)) (cbrt (- hi lo)))) (/ (sqrt (- x lo)) (cbrt (- hi lo))))) * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x lo)) (sqrt (- hi lo))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x lo)) (sqrt (- hi lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (/ (sqrt (- x lo)) (sqrt (- hi lo))) (/ (sqrt (- x lo)) (sqrt (- hi lo))))) * [enter]simplify: Simplifying (/ (sqrt (- x lo)) (sqrt (- hi lo))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x lo)) (sqrt (- hi lo))) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ (sqrt (- x lo)) (sqrt (- hi lo))) (/ (sqrt (- x lo)) (sqrt (- hi lo))))) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x lo)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- x lo)) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (sqrt (- x lo)) (/ (sqrt (- x lo)) (- hi lo)))) * [enter]simplify: Simplifying (/ (sqrt (- x lo)) (- hi lo)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x lo)) (- hi lo)) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (sqrt (- x lo)) (/ (sqrt (- x lo)) (- hi lo)))) * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- hi lo)) (cbrt (- hi lo)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- hi lo))) (cbrt (- hi lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (/ (/ 1 (cbrt (- hi lo))) (cbrt (- hi lo))) (/ (- x lo) (cbrt (- hi lo))))) * [enter]simplify: Simplifying (/ (- x lo) (cbrt (- hi lo))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x lo) (cbrt (- hi lo))) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ 1 (* (cbrt (- hi lo)) (cbrt (- hi lo)))) (/ (- x lo) (cbrt (- hi lo))))) * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- hi lo))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- hi lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* (/ 1 (sqrt (- hi lo))) (/ (- x lo) (sqrt (- hi lo))))) * [enter]simplify: Simplifying (/ (- x lo) (sqrt (- hi lo))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x lo) (sqrt (- hi lo))) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ 1 (sqrt (- hi lo))) (/ (- x lo) (sqrt (- hi lo))))) * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (* 1 (/ (- x lo) (- hi lo)))) * [enter]simplify: Simplifying (/ (- x lo) (- hi lo)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- x lo) (- hi lo)) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* 1 (/ (- x lo) (- hi lo)))) * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- hi lo)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- hi lo)) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (/ (/ (- x lo) (* (cbrt (- hi lo)) (cbrt (- hi lo)))) (cbrt (- hi lo)))) * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- hi lo)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- hi lo)) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (/ (/ (- x lo) (sqrt (- hi lo))) (sqrt (- hi lo)))) * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- hi lo) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- hi lo) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (/ (/ (- x lo) 1) (- hi lo))) * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x lo)) (cbrt (- x lo))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- x lo)) (cbrt (- x lo))) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (/ (* (cbrt (- x lo)) (cbrt (- x lo))) (/ (- hi lo) (cbrt (- x lo))))) * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x lo)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x lo)) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (/ (sqrt (- x lo)) (/ (- hi lo) (sqrt (- x lo))))) * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* hi hi) (+ (* lo lo) (* hi lo))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ hi lo) lo (* hi hi)) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ (- x lo) (- (pow hi 3) (pow lo 3))) (fma (+ hi lo) lo (* hi hi)))) * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ hi lo) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ lo hi) * [misc]simplify: Simplified (2 2) to (λ (lo hi x) (* (/ (- x lo) (- (* hi hi) (* lo lo))) (+ lo hi))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow lo 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (- lo) (* lo lo) (pow x 3)) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (/ (fma (- lo) (* lo lo) (pow x 3)) (* (- hi lo) (+ (* x x) (+ (* lo lo) (* x lo)))))) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* lo lo)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* x x) (* lo lo)) * [misc]simplify: Simplified (2 1) to (λ (lo hi x) (/ (- (* x x) (* lo lo)) (* (- hi lo) (+ x lo)))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (lo hi x) 0) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (lo hi x) 0) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (lo hi x) 0) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ (- x lo) (- hi lo)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (- x lo) (- hi lo)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs