
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 25% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 25% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 37.5% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 56.2% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 56.2% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 65.6% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 76.6% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 76.6% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 82% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 87.9% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 761.0ms | 8 256× | 0 | valid |
const: 254.0ms (49.4% of total)ival-sub: 90.0ms (17.5% of total)ival-div: 74.0ms (14.4% of total)ival-<: 62.0ms (12.1% of total)ival->: 19.0ms (3.7% of total)ival-and: 11.0ms (2.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (-1.5099804979169525e+308 1.0996098647687484e+308 3.0080198743740347e-61) | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 0 | 0 | - | 0 | - | (-.f64 hi lo) |
| 0 | 0 | - | 0 | - | (-.f64 x lo) |
| 0 | 0 | - | 0 | - | lo |
| 0 | 0 | - | 0 | - | hi |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 256 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 256 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 91 to 40 computations (56% saved)
ival-sub: 6.0ms (60.9% of total)ival-div: 4.0ms (40.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 74 |
| 1 | 80 | 68 |
| 2 | 195 | 66 |
| 3 | 547 | 64 |
| 4 | 1306 | 64 |
| 5 | 2206 | 64 |
| 6 | 2362 | 64 |
| 7 | 2468 | 64 |
| 8 | 2544 | 64 |
| 9 | 2561 | 64 |
| 10 | 2561 | 64 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 23 | 7 |
| 3 | 39 | 7 |
| 4 | 74 | 7 |
| 5 | 149 | 7 |
| 6 | 356 | 7 |
| 7 | 593 | 7 |
| 8 | 747 | 7 |
| 9 | 763 | 7 |
| 10 | 764 | 7 |
| 0 | 764 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| Outputs |
|---|
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.1% | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 hi lo) | |
| cost-diff | 0 | (-.f64 x lo) | |
| cost-diff | 0 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 15 | 16 |
| 2 | 23 | 16 |
| 3 | 39 | 16 |
| 4 | 74 | 16 |
| 5 | 149 | 16 |
| 6 | 356 | 16 |
| 7 | 593 | 16 |
| 8 | 747 | 16 |
| 9 | 763 | 16 |
| 10 | 764 | 16 |
| 0 | 764 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
(-.f64 x lo) |
x |
lo |
(-.f64 hi lo) |
hi |
| Outputs |
|---|
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
(-.f64 x lo) |
x |
lo |
(-.f64 hi lo) |
hi |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x lo) | |
| accuracy | 0 | (-.f64 hi lo) | |
| accuracy | 61.99708692812743 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 18.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-sub: 7.0ms (74.1% of total)ival-div: 2.0ms (21.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ()) |
#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ()) |
#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x hi) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt hi (taylor 0 lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (+ hi (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (+ hi (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (+ hi (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) (taylor inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) (taylor inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) (taylor inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* lo (- (/ x lo) 1)) (taylor inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* lo (- (/ x lo) 1)) (taylor inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* lo (- (/ x lo) 1)) (taylor inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* lo (- (/ hi lo) 1)) (taylor inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* lo (- (/ hi lo) 1)) (taylor inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* lo (- (/ hi lo) 1)) (taylor inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x hi) lo))) (taylor -inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) (taylor -inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) (taylor -inf lo) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor -inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* lo (+ 1 (* -1 (/ x lo))))) (taylor -inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* lo (+ 1 (* -1 (/ x lo))))) (taylor -inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* lo (+ 1 (* -1 (/ x lo))))) (taylor -inf lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor -inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* lo (+ 1 (* -1 (/ hi lo))))) (taylor -inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* lo (+ 1 (* -1 (/ hi lo))))) (taylor -inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* lo (+ 1 (* -1 (/ hi lo))))) (taylor -inf lo) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ lo (- hi lo))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor 0 x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (- x lo) (taylor 0 x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (- x lo) (taylor 0 x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (- x lo) (taylor 0 x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- hi lo)) (taylor inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ lo x)))) (taylor inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ lo x)))) (taylor inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ lo x)))) (taylor inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- hi lo)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ lo x) 1))) (taylor -inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ lo x) 1))) (taylor -inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ lo x) 1))) (taylor -inf x) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x lo) lo)) (taylor 0 hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) (taylor 0 hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) (taylor 0 hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) (taylor 0 hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor 0 hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (- hi lo) (taylor 0 hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (- hi lo) (taylor 0 hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (- hi lo) (taylor 0 hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) (taylor inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) (taylor inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) (taylor inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt hi (taylor inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* hi (+ 1 (* -1 (/ lo hi)))) (taylor inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* hi (+ 1 (* -1 (/ lo hi)))) (taylor inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* hi (+ 1 (* -1 (/ lo hi)))) (taylor inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) (-.f64 hi lo)) (patch (/.f64 (-.f64 x lo) (-.f64 hi lo)) #<representation binary64>) () ())) ()) |
#s(alt hi (taylor -inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* hi (- (/ lo hi) 1))) (taylor -inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* hi (- (/ lo hi) 1))) (taylor -inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* hi (- (/ lo hi) 1))) (taylor -inf hi) (#s(alt (-.f64 hi lo) (patch (-.f64 hi lo) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | lo | @ | inf | ((/ (- x lo) (- hi lo)) (- x lo) (- hi lo)) |
| 1.0ms | lo | @ | 0 | ((/ (- x lo) (- hi lo)) (- x lo) (- hi lo)) |
| 1.0ms | x | @ | -inf | ((/ (- x lo) (- hi lo)) (- x lo) (- hi lo)) |
| 1.0ms | x | @ | inf | ((/ (- x lo) (- hi lo)) (- x lo) (- hi lo)) |
| 1.0ms | hi | @ | 0 | ((/ (- x lo) (- hi lo)) (- x lo) (- hi lo)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 833 |
| 1 | 575 | 775 |
| 2 | 1803 | 709 |
| 3 | 7842 | 707 |
| 0 | 8467 | 681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
x |
(+ x (* -1 lo)) |
(+ x (* -1 lo)) |
(+ x (* -1 lo)) |
hi |
(+ hi (* -1 lo)) |
(+ hi (* -1 lo)) |
(+ hi (* -1 lo)) |
1 |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(* -1 lo) |
(* lo (- (/ x lo) 1)) |
(* lo (- (/ x lo) 1)) |
(* lo (- (/ x lo) 1)) |
(* -1 lo) |
(* lo (- (/ hi lo) 1)) |
(* lo (- (/ hi lo) 1)) |
(* lo (- (/ hi lo) 1)) |
1 |
(+ 1 (* -1 (/ (- x hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
(* -1 lo) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(* -1 lo) |
(* -1 (* lo (+ 1 (* -1 (/ hi lo))))) |
(* -1 (* lo (+ 1 (* -1 (/ hi lo))))) |
(* -1 (* lo (+ 1 (* -1 (/ hi lo))))) |
(* -1 (/ lo (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(* -1 lo) |
(- x lo) |
(- x lo) |
(- x lo) |
(/ x (- hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
x |
(* x (+ 1 (* -1 (/ lo x)))) |
(* x (+ 1 (* -1 (/ lo x)))) |
(* x (+ 1 (* -1 (/ lo x)))) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
x |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(* -1 lo) |
(- hi lo) |
(- hi lo) |
(- hi lo) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
hi |
(* hi (+ 1 (* -1 (/ lo hi)))) |
(* hi (+ 1 (* -1 (/ lo hi)))) |
(* hi (+ 1 (* -1 (/ lo hi)))) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
hi |
(* -1 (* hi (- (/ lo hi) 1))) |
(* -1 (* hi (- (/ lo hi) 1))) |
(* -1 (* hi (- (/ lo hi) 1))) |
| Outputs |
|---|
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) lo (/.f64 lo (*.f64 (neg.f64 hi) hi))) lo (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (*.f64 lo lo) (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
x |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(+ x (* -1 lo)) |
(-.f64 x lo) |
hi |
(+ hi (* -1 lo)) |
(-.f64 hi lo) |
(+ hi (* -1 lo)) |
(-.f64 hi lo) |
(+ hi (* -1 lo)) |
(-.f64 hi lo) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(fma.f64 (*.f64 (-.f64 hi x) hi) (/.f64 hi (pow.f64 lo #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
(* -1 lo) |
(neg.f64 lo) |
(* lo (- (/ x lo) 1)) |
(-.f64 x lo) |
(* lo (- (/ x lo) 1)) |
(-.f64 x lo) |
(* lo (- (/ x lo) 1)) |
(-.f64 x lo) |
(* -1 lo) |
(neg.f64 lo) |
(* lo (- (/ hi lo) 1)) |
(-.f64 hi lo) |
(* lo (- (/ hi lo) 1)) |
(-.f64 hi lo) |
(* lo (- (/ hi lo) 1)) |
(-.f64 hi lo) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x hi) lo))) |
(-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x hi) lo) hi (-.f64 x hi)) lo)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x hi) (fma.f64 hi (/.f64 hi lo) hi)) lo) x) hi) lo)) |
(* -1 lo) |
(neg.f64 lo) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(-.f64 x lo) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(-.f64 x lo) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(-.f64 x lo) |
(* -1 lo) |
(neg.f64 lo) |
(* -1 (* lo (+ 1 (* -1 (/ hi lo))))) |
(-.f64 hi lo) |
(* -1 (* lo (+ 1 (* -1 (/ hi lo))))) |
(-.f64 hi lo) |
(* -1 (* lo (+ 1 (* -1 (/ hi lo))))) |
(-.f64 hi lo) |
(* -1 (/ lo (- hi lo))) |
(/.f64 lo (-.f64 lo hi)) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(-.f64 (/.f64 x (-.f64 hi lo)) (/.f64 lo (-.f64 hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(-.f64 (/.f64 x (-.f64 hi lo)) (/.f64 lo (-.f64 hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(-.f64 (/.f64 x (-.f64 hi lo)) (/.f64 lo (-.f64 hi lo))) |
(* -1 lo) |
(neg.f64 lo) |
(- x lo) |
(-.f64 x lo) |
(- x lo) |
(-.f64 x lo) |
(- x lo) |
(-.f64 x lo) |
(/ x (- hi lo)) |
(/.f64 x (-.f64 hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(fma.f64 (/.f64 x x) (/.f64 lo (-.f64 lo hi)) (/.f64 x (-.f64 hi lo))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(fma.f64 (/.f64 x x) (/.f64 lo (-.f64 lo hi)) (/.f64 x (-.f64 hi lo))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(fma.f64 (/.f64 x x) (/.f64 lo (-.f64 lo hi)) (/.f64 x (-.f64 hi lo))) |
x |
(* x (+ 1 (* -1 (/ lo x)))) |
(fma.f64 (/.f64 lo (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ lo x)))) |
(fma.f64 (/.f64 lo (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ lo x)))) |
(fma.f64 (/.f64 lo (neg.f64 x)) x x) |
(/ x (- hi lo)) |
(/.f64 x (-.f64 hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(fma.f64 (/.f64 x x) (/.f64 lo (-.f64 lo hi)) (/.f64 x (-.f64 hi lo))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(fma.f64 (/.f64 x x) (/.f64 lo (-.f64 lo hi)) (/.f64 x (-.f64 hi lo))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(fma.f64 (/.f64 x x) (/.f64 lo (-.f64 lo hi)) (/.f64 x (-.f64 hi lo))) |
x |
(* -1 (* x (- (/ lo x) 1))) |
(fma.f64 (/.f64 lo (neg.f64 x)) x x) |
(* -1 (* x (- (/ lo x) 1))) |
(fma.f64 (/.f64 lo (neg.f64 x)) x x) |
(* -1 (* x (- (/ lo x) 1))) |
(fma.f64 (/.f64 lo (neg.f64 x)) x x) |
(* -1 (/ (- x lo) lo)) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo)) hi (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo)) (/.f64 hi lo) (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo))) hi (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo)) lo)) hi (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo))) hi (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
(* -1 lo) |
(neg.f64 lo) |
(- hi lo) |
(-.f64 hi lo) |
(- hi lo) |
(-.f64 hi lo) |
(- hi lo) |
(-.f64 hi lo) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/.f64 (fma.f64 (pow.f64 (/.f64 lo hi) #s(literal 3 binary64)) (-.f64 x lo) (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo))) hi) |
hi |
(* hi (+ 1 (* -1 (/ lo hi)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 lo hi)) hi) |
(* hi (+ 1 (* -1 (/ lo hi)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 lo hi)) hi) |
(* hi (+ 1 (* -1 (/ lo hi)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 lo hi)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo (/.f64 lo hi) lo)) hi) (-.f64 lo x)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo lo (/.f64 (pow.f64 lo #s(literal 3 binary64)) hi))) hi)) hi) (-.f64 lo x)) hi) |
hi |
(* -1 (* hi (- (/ lo hi) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 lo hi)) hi) |
(* -1 (* hi (- (/ lo hi) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 lo hi)) hi) |
(* -1 (* hi (- (/ lo hi) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 lo hi)) hi) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 46 | 13 |
| 2 | 368 | 13 |
| 3 | 5378 | 13 |
| 0 | 8274 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
(-.f64 x lo) |
(-.f64 hi lo) |
| Outputs |
|---|
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Compiled 12 256 to 1 433 computations (88.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 11 | 572 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 562 | 11 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo)) (/.f64 hi lo) (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo))) hi (-.f64 #s(literal 1 binary64) (/.f64 x lo)))) | |
| ▶ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
| ▶ | 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
| 11.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (pow.f64 (/.f64 lo hi) #s(literal 3 binary64)) (-.f64 x lo) (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo))) hi)) | |
| 15.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo)) hi)) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) | |
| ▶ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
| ▶ | 8.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x hi) lo) hi (-.f64 x hi)) lo))) | |
| 18.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) | |
| ▶ | 18.6% | #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
Compiled 302 to 200 computations (33.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x hi) | |
| cost-diff | 0 | (/.f64 (/.f64 x hi) hi) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) | |
| cost-diff | 0 | (/.f64 hi lo) | |
| cost-diff | 0 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 hi x) | |
| cost-diff | 0 | (/.f64 (-.f64 hi x) lo) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 x lo) | |
| cost-diff | 0 | (/.f64 (-.f64 x lo) hi) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 172 |
| 0 | 37 | 172 |
| 1 | 64 | 172 |
| 2 | 109 | 172 |
| 3 | 245 | 172 |
| 4 | 607 | 172 |
| 5 | 1792 | 172 |
| 6 | 5586 | 172 |
| 0 | 8105 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
x |
lo |
hi |
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) |
(/.f64 (-.f64 hi x) lo) |
(-.f64 hi x) |
hi |
x |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
(/.f64 (-.f64 hi x) lo) |
(-.f64 hi x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
(fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) |
(/.f64 (/.f64 x hi) hi) |
(/.f64 x hi) |
x |
hi |
lo |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
x |
lo |
hi |
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) |
(/.f64 (-.f64 hi x) lo) |
(-.f64 hi x) |
hi |
x |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
(/.f64 (-.f64 hi x) lo) |
(-.f64 hi x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
(fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) |
(/.f64 (/.f64 x hi) hi) |
(/.f64 x hi) |
x |
hi |
lo |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x hi) | |
| accuracy | 0 | (-.f64 x lo) | |
| accuracy | 0.03191376953688403 | (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) | |
| accuracy | 51.94063286479916 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 hi x) lo) | |
| accuracy | 0.07421875 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) | |
| accuracy | 1.5450097071900935 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 hi x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 hi x) lo) | |
| accuracy | 1.5345800251409645 | (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) | |
| accuracy | 58.46402543085105 | #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) | |
| accuracy | 52.07306674302888 | #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 (-.f64 x lo) hi) | |
| accuracy | 0 | (-.f64 x lo) | |
| accuracy | 51.940436857255584 | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
| 48.0ms | 256× | 0 | valid |
Compiled 271 to 43 computations (84.1% saved)
ival-sub: 12.0ms (41.1% of total)ival-div: 10.0ms (34.3% of total)ival-mult: 3.0ms (10.3% of total)ival-add: 2.0ms (6.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ()) |
#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) (patch #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 hi x) lo) (patch (/.f64 (-.f64 hi x) lo) #<representation binary64>) () ()) |
#s(alt (-.f64 hi x) (patch (-.f64 hi x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 hi lo) (patch (/.f64 hi lo) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) (patch (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x hi) hi) (patch (/.f64 (/.f64 x hi) hi) #<representation binary64>) () ()) |
#s(alt (/.f64 x hi) (patch (/.f64 x hi) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo hi)) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo hi)) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo hi)) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) (patch #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) (patch #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) (patch #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) (patch #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) (patch (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) (patch (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) (patch (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow hi 2)) (taylor -inf hi) (#s(alt (/.f64 (/.f64 x hi) hi) (patch (/.f64 (/.f64 x hi) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow hi 2)) (taylor -inf hi) (#s(alt (/.f64 (/.f64 x hi) hi) (patch (/.f64 (/.f64 x hi) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow hi 2)) (taylor -inf hi) (#s(alt (/.f64 (/.f64 x hi) hi) (patch (/.f64 (/.f64 x hi) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow hi 2)) (taylor -inf hi) (#s(alt (/.f64 (/.f64 x hi) hi) (patch (/.f64 (/.f64 x hi) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor -inf hi) (#s(alt (/.f64 x hi) (patch (/.f64 x hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor -inf hi) (#s(alt (/.f64 x hi) (patch (/.f64 x hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor -inf hi) (#s(alt (/.f64 x hi) (patch (/.f64 x hi) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor -inf hi) (#s(alt (/.f64 x hi) (patch (/.f64 x hi) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (- (/ (- hi x) lo) -1) (/ (- hi x) lo) (- hi x) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (/ (/ x hi) hi) (/ x hi)) |
| 6.0ms | x | @ | -inf | ((/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (- (/ (- hi x) lo) -1) (/ (- hi x) lo) (- hi x) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (/ (/ x hi) hi) (/ x hi)) |
| 3.0ms | x | @ | 0 | ((/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (- (/ (- hi x) lo) -1) (/ (- hi x) lo) (- hi x) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (/ (/ x hi) hi) (/ x hi)) |
| 3.0ms | hi | @ | -inf | ((/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (- (/ (- hi x) lo) -1) (/ (- hi x) lo) (- hi x) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (/ (/ x hi) hi) (/ x hi)) |
| 3.0ms | lo | @ | inf | ((/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (- (/ (- hi x) lo) -1) (/ (- hi x) lo) (- hi x) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (/ (/ x hi) hi) (/ x hi)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 5962 |
| 1 | 1126 | 5469 |
| 2 | 3607 | 5047 |
| 0 | 8250 | 4913 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ x hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
x |
(+ x (* -1 lo)) |
(+ x (* -1 lo)) |
(+ x (* -1 lo)) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ (- hi x) lo) |
(/ (- (+ hi lo) x) lo) |
(/ (- (+ hi lo) x) lo) |
(/ (- (+ hi lo) x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ hi lo) |
(/ (+ hi lo) lo) |
(/ (+ hi lo) lo) |
(/ (+ hi lo) lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ x hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
1 |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(* -1 (/ lo hi)) |
(* lo (- (/ x (* hi lo)) (/ 1 hi))) |
(* lo (- (/ x (* hi lo)) (/ 1 hi))) |
(* lo (- (/ x (* hi lo)) (/ 1 hi))) |
(* -1 lo) |
(* lo (- (/ x lo) 1)) |
(* lo (- (/ x lo) 1)) |
(* lo (- (/ x lo) 1)) |
1 |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
1 |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
1 |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
1 |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
1 |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (+ (/ hi lo) (/ (* hi (- hi x)) (pow lo 2)))) (/ x lo)) |
(- (+ 1 (+ (/ hi lo) (/ (* hi (- hi x)) (pow lo 2)))) (/ x lo)) |
1 |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
1 |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(* lo (- (/ x (pow hi 2)) (/ 1 hi))) |
(* lo (- (+ (/ x (* hi lo)) (/ x (pow hi 2))) (/ 1 hi))) |
(* lo (- (+ (/ x (* hi lo)) (/ x (pow hi 2))) (/ 1 hi))) |
(* lo (- (+ (/ x (* hi lo)) (/ x (pow hi 2))) (/ 1 hi))) |
1 |
(+ 1 (* -1 (/ (- x hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
(* -1 (/ lo hi)) |
(* -1 (* lo (+ (* -1 (/ x (* hi lo))) (/ 1 hi)))) |
(* -1 (* lo (+ (* -1 (/ x (* hi lo))) (/ 1 hi)))) |
(* -1 (* lo (+ (* -1 (/ x (* hi lo))) (/ 1 hi)))) |
(* -1 lo) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
(* -1 (* lo (+ 1 (* -1 (/ x lo))))) |
1 |
(+ 1 (* -1 (/ (- x hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
1 |
(+ 1 (* -1 (/ (- x hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
1 |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
(/ (- hi x) lo) |
1 |
(+ 1 (* -1 (/ (- x hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
1 |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(+ 1 (* -1 (/ (+ (* -1 (- hi x)) (* -1 (/ (* hi (- hi x)) lo))) lo))) |
(+ 1 (* -1 (/ (+ (* -1 (- hi x)) (* -1 (/ (* hi (- hi x)) lo))) lo))) |
1 |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
1 |
(+ 1 (* -1 (/ (- x hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (/ (* hi (- x hi)) lo)) hi) lo))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow hi 2) (- x hi)) lo)) (* hi (- x hi))) lo))) hi) lo))) |
(* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) |
(* -1 (* lo (+ (* -1 (/ x (* hi lo))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi))))) |
(* -1 (* lo (+ (* -1 (/ x (* hi lo))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi))))) |
(* -1 (* lo (+ (* -1 (/ x (* hi lo))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi))))) |
(* -1 (/ lo (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(* -1 (/ lo hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(* -1 lo) |
(- x lo) |
(- x lo) |
(- x lo) |
(* -1 (/ lo (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(* -1 (/ lo (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ 1 (/ hi lo)) |
(+ 1 (+ (* -1 (/ x lo)) (/ hi lo))) |
(+ 1 (+ (* -1 (/ x lo)) (/ hi lo))) |
(+ 1 (+ (* -1 (/ x lo)) (/ hi lo))) |
(/ hi lo) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
hi |
(+ hi (* -1 x)) |
(+ hi (* -1 x)) |
(+ hi (* -1 x)) |
(* -1 (/ lo (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) |
(+ 1 (+ (* -1 (/ (* x (+ 1 (/ hi lo))) lo)) (/ (* hi (+ 1 (/ hi lo))) lo))) |
(+ 1 (+ (* -1 (/ (* x (+ 1 (/ hi lo))) lo)) (/ (* hi (+ 1 (/ hi lo))) lo))) |
(+ 1 (+ (* -1 (/ (* x (+ 1 (/ hi lo))) lo)) (/ (* hi (+ 1 (/ hi lo))) lo))) |
(* -1 (/ lo (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(* -1 (/ lo hi)) |
(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x (- hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(/ x hi) |
(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
x |
(* x (+ 1 (* -1 (/ lo x)))) |
(* x (+ 1 (* -1 (/ lo x)))) |
(* x (+ 1 (* -1 (/ lo x)))) |
(/ x (- hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(/ x (- hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* -1 (/ x lo)) |
(* x (- (+ (/ 1 x) (/ hi (* lo x))) (/ 1 lo))) |
(* x (- (+ (/ 1 x) (/ hi (* lo x))) (/ 1 lo))) |
(* x (- (+ (/ 1 x) (/ hi (* lo x))) (/ 1 lo))) |
(* -1 (/ x lo)) |
(* x (- (/ hi (* lo x)) (/ 1 lo))) |
(* x (- (/ hi (* lo x)) (/ 1 lo))) |
(* x (- (/ hi (* lo x)) (/ 1 lo))) |
(* -1 x) |
(* x (- (/ hi x) 1)) |
(* x (- (/ hi x) 1)) |
(* x (- (/ hi x) 1)) |
(/ x (- hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* -1 (/ (* x (+ 1 (/ hi lo))) lo)) |
(* x (+ (* -1 (/ (+ 1 (/ hi lo)) lo)) (+ (/ 1 x) (/ (* hi (+ 1 (/ hi lo))) (* lo x))))) |
(* x (+ (* -1 (/ (+ 1 (/ hi lo)) lo)) (+ (/ 1 x) (/ (* hi (+ 1 (/ hi lo))) (* lo x))))) |
(* x (+ (* -1 (/ (+ 1 (/ hi lo)) lo)) (+ (/ 1 x) (/ (* hi (+ 1 (/ hi lo))) (* lo x))))) |
(/ x (- hi lo)) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
(* x (+ (/ 1 hi) (/ lo (pow hi 2)))) |
(* x (+ (* -1 (/ lo (* hi x))) (+ (/ 1 hi) (/ lo (pow hi 2))))) |
(* x (+ (* -1 (/ lo (* hi x))) (+ (/ 1 hi) (/ lo (pow hi 2))))) |
(* x (+ (* -1 (/ lo (* hi x))) (+ (/ 1 hi) (/ lo (pow hi 2))))) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(/ x hi) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
x |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (* x (- (/ lo x) 1))) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (/ x lo)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ hi lo)) x)) (/ 1 lo)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ hi lo)) x)) (/ 1 lo)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ hi lo)) x)) (/ 1 lo)))) |
(* -1 (/ x lo)) |
(* -1 (* x (+ (* -1 (/ hi (* lo x))) (/ 1 lo)))) |
(* -1 (* x (+ (* -1 (/ hi (* lo x))) (/ 1 lo)))) |
(* -1 (* x (+ (* -1 (/ hi (* lo x))) (/ 1 lo)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ hi x))))) |
(* -1 (* x (+ 1 (* -1 (/ hi x))))) |
(* -1 (* x (+ 1 (* -1 (/ hi x))))) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (+ (/ 1 lo) (/ hi (pow lo 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (* -1 (/ lo (pow hi 2))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))) (/ 1 hi)))) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(- 1 (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(- (+ 1 (/ hi lo)) (/ x lo)) |
(* -1 (/ x lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(* -1 x) |
(- hi x) |
(- hi x) |
(- hi x) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(+ 1 (* -1 (/ x lo))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
1 |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(/ (* lo x) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo x)) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo x)) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo x)) (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ hi lo) |
(* hi (- (+ (/ 1 hi) (/ 1 lo)) (/ x (* hi lo)))) |
(* hi (- (+ (/ 1 hi) (/ 1 lo)) (/ x (* hi lo)))) |
(* hi (- (+ (/ 1 hi) (/ 1 lo)) (/ x (* hi lo)))) |
(/ hi lo) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
hi |
(* hi (+ 1 (* -1 (/ x hi)))) |
(* hi (+ 1 (* -1 (/ x hi)))) |
(* hi (+ 1 (* -1 (/ x hi)))) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(/ hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ hi lo) |
(* -1 (* hi (- (* -1 (/ (+ 1 (* -1 (/ x lo))) hi)) (/ 1 lo)))) |
(* -1 (* hi (- (* -1 (/ (+ 1 (* -1 (/ x lo))) hi)) (/ 1 lo)))) |
(* -1 (* hi (- (* -1 (/ (+ 1 (* -1 (/ x lo))) hi)) (/ 1 lo)))) |
(/ hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
hi |
(* -1 (* hi (- (/ x hi) 1))) |
(* -1 (* hi (- (/ x hi) 1))) |
(* -1 (* hi (- (/ x hi) 1))) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(/ hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x (pow hi 2)) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
(/ x hi) |
| Outputs |
|---|
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) lo) (/.f64 (/.f64 lo hi) hi)) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/.f64 (-.f64 x lo) hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/.f64 (-.f64 x lo) hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/.f64 (-.f64 x lo) hi) |
x |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) lo) (/.f64 (/.f64 lo hi) hi)) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) lo) (/.f64 (/.f64 lo hi) hi)) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(/ (- hi x) lo) |
(/.f64 (-.f64 hi x) lo) |
(/ (- (+ hi lo) x) lo) |
(/.f64 (-.f64 (+.f64 lo hi) x) lo) |
(/ (- (+ hi lo) x) lo) |
(/.f64 (-.f64 (+.f64 lo hi) x) lo) |
(/ (- (+ hi lo) x) lo) |
(/.f64 (-.f64 (+.f64 lo hi) x) lo) |
(/ (- hi x) lo) |
(/.f64 (-.f64 hi x) lo) |
(/ (- hi x) lo) |
(/.f64 (-.f64 hi x) lo) |
(/ (- hi x) lo) |
(/.f64 (-.f64 hi x) lo) |
(/ (- hi x) lo) |
(/.f64 (-.f64 hi x) lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) lo) (/.f64 (/.f64 lo hi) hi)) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(/ (* hi (- hi x)) (pow lo 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (+.f64 lo hi) x) lo (*.f64 (-.f64 hi x) hi)) lo) lo) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (+.f64 lo hi) x) lo (*.f64 (-.f64 hi x) hi)) lo) lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ (+ hi lo) lo) |
(/.f64 (+.f64 lo hi) lo) |
(/ (+ hi lo) lo) |
(/.f64 (+.f64 lo hi) lo) |
(/ (+ hi lo) lo) |
(/.f64 (+.f64 lo hi) lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) lo) (/.f64 (/.f64 lo hi) hi)) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo) lo (fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi))) |
(/ x hi) |
(/.f64 x hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(fma.f64 (/.f64 (/.f64 lo hi) hi) x (/.f64 (-.f64 x lo) hi)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x hi) lo)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(fma.f64 (/.f64 (-.f64 hi x) (pow.f64 lo #s(literal 3 binary64))) (*.f64 hi hi) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) |
(* -1 (/ lo hi)) |
(/.f64 (neg.f64 lo) hi) |
(* lo (- (/ x (* hi lo)) (/ 1 hi))) |
(*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) |
(* lo (- (/ x (* hi lo)) (/ 1 hi))) |
(*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) |
(* lo (- (/ x (* hi lo)) (/ 1 hi))) |
(*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) |
(* -1 lo) |
(neg.f64 lo) |
(* lo (- (/ x lo) 1)) |
(*.f64 (/.f64 (-.f64 x lo) lo) lo) |
(* lo (- (/ x lo) 1)) |
(*.f64 (/.f64 (-.f64 x lo) lo) lo) |
(* lo (- (/ x lo) 1)) |
(*.f64 (/.f64 (-.f64 x lo) lo) lo) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x hi) lo)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(fma.f64 (/.f64 (-.f64 hi x) (pow.f64 lo #s(literal 3 binary64))) (*.f64 hi hi) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x lo))) (* -1 (/ hi lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x hi) lo)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
(fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x lo)) (/ (* (pow hi 2) (- (* -1 x) (* -1 hi))) (pow lo 3)))) (+ (* -1 (/ hi lo)) (* -1 (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2))))) |
(fma.f64 (/.f64 (-.f64 hi x) (pow.f64 lo #s(literal 3 binary64))) (*.f64 hi hi) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) |
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x hi) lo)) |
(/ (- hi x) lo) |
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(/ (- hi x) lo) |
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(/ (- hi x) lo) |
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(/ (- hi x) lo) |
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(fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ hi lo) (/ (* hi (- hi x)) (pow lo 2)))) (/ x lo)) |
(fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64)) |
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(* lo (- (/ x (pow hi 2)) (/ 1 hi))) |
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(/ (- hi x) lo) |
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(/ (- hi x) lo) |
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(/ (- hi x) lo) |
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(/ (- hi x) lo) |
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x hi) lo)) |
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(fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64)) |
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(/ hi lo) |
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(/ hi lo) |
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(* -1 lo) |
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hi |
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(* -1 (/ lo (- hi lo))) |
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(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
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(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
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(/ x (pow hi 2)) |
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(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
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(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
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x |
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(/ x (- hi lo)) |
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(* x (+ (* -1 (/ lo (* x (- hi lo)))) (/ 1 (- hi lo)))) |
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(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) (pow.f64 hi #s(literal 3 binary64))) (pow.f64 lo #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo))) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) (pow.f64 hi #s(literal 3 binary64))) (pow.f64 lo #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo))) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) (pow.f64 hi #s(literal 3 binary64))) (pow.f64 lo #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo))) hi) |
(/ hi lo) |
(/.f64 hi lo) |
(* hi (- (+ (/ 1 hi) (/ 1 lo)) (/ x (* hi lo)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi #s(literal 1 binary64)) |
(* hi (- (+ (/ 1 hi) (/ 1 lo)) (/ x (* hi lo)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi #s(literal 1 binary64)) |
(* hi (- (+ (/ 1 hi) (/ 1 lo)) (/ x (* hi lo)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi #s(literal 1 binary64)) |
(/ hi lo) |
(/.f64 hi lo) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
hi |
(* hi (+ 1 (* -1 (/ x hi)))) |
(fma.f64 (/.f64 (neg.f64 x) hi) hi hi) |
(* hi (+ 1 (* -1 (/ x hi)))) |
(fma.f64 (/.f64 (neg.f64 x) hi) hi hi) |
(* hi (+ 1 (* -1 (/ x hi)))) |
(fma.f64 (/.f64 (neg.f64 x) hi) hi hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) (pow.f64 hi #s(literal 3 binary64))) (pow.f64 lo #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 (/.f64 hi lo) lo)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x hi) hi) lo)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x hi) hi) lo)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(/ hi lo) |
(/.f64 hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo)) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) (pow.f64 hi #s(literal 3 binary64))) (pow.f64 lo #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x lo) hi) (+.f64 (/.f64 (*.f64 lo lo) hi) lo) (-.f64 x lo))) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/.f64 (fma.f64 lo (-.f64 (/.f64 x hi) #s(literal 1 binary64)) x) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/.f64 (fma.f64 lo (-.f64 (/.f64 x hi) #s(literal 1 binary64)) x) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/.f64 (fma.f64 lo (-.f64 (/.f64 x hi) #s(literal 1 binary64)) x) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x hi) |
(/.f64 x hi) |
(/ x hi) |
(/.f64 x hi) |
(/ x hi) |
(/.f64 x hi) |
(/ x hi) |
(/.f64 x hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 x lo) (+.f64 (/.f64 (*.f64 lo lo) hi) lo)) hi) (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo lo (/.f64 (pow.f64 lo #s(literal 3 binary64)) hi))) hi)) hi) (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 x lo) (+.f64 (/.f64 (*.f64 lo lo) hi) lo)) hi) (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo lo (/.f64 (pow.f64 lo #s(literal 3 binary64)) hi))) hi)) hi) (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 x lo) (+.f64 (/.f64 (*.f64 lo lo) hi) lo)) hi) (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo lo (/.f64 (pow.f64 lo #s(literal 3 binary64)) hi))) hi)) hi) (-.f64 x lo)) hi) |
(/ hi lo) |
(/.f64 hi lo) |
(* -1 (* hi (- (* -1 (/ (+ 1 (* -1 (/ x lo))) hi)) (/ 1 lo)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi #s(literal 1 binary64)) |
(* -1 (* hi (- (* -1 (/ (+ 1 (* -1 (/ x lo))) hi)) (/ 1 lo)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi #s(literal 1 binary64)) |
(* -1 (* hi (- (* -1 (/ (+ 1 (* -1 (/ x lo))) hi)) (/ 1 lo)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi #s(literal 1 binary64)) |
(/ hi lo) |
(/.f64 hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
hi |
(* -1 (* hi (- (/ x hi) 1))) |
(fma.f64 (/.f64 (neg.f64 x) hi) hi hi) |
(* -1 (* hi (- (/ x hi) 1))) |
(fma.f64 (/.f64 (neg.f64 x) hi) hi hi) |
(* -1 (* hi (- (/ x hi) 1))) |
(fma.f64 (/.f64 (neg.f64 x) hi) hi hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 x lo) (+.f64 (/.f64 (*.f64 lo lo) hi) lo)) hi) (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo lo (/.f64 (pow.f64 lo #s(literal 3 binary64)) hi))) hi)) hi) (-.f64 x lo)) hi) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 (/.f64 hi lo) lo)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 x lo) lo) (/.f64 #s(literal 1 binary64) lo)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 x lo) lo) (/.f64 #s(literal 1 binary64) lo)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) hi)) (*.f64 hi hi)) |
(/ hi lo) |
(/.f64 hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 x lo) (+.f64 (/.f64 (*.f64 lo lo) hi) lo)) hi) (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (*.f64 (-.f64 x lo) (fma.f64 lo lo (/.f64 (pow.f64 lo #s(literal 3 binary64)) hi))) hi)) hi) (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/.f64 (fma.f64 lo (-.f64 (/.f64 x hi) #s(literal 1 binary64)) x) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/.f64 (fma.f64 lo (-.f64 (/.f64 x hi) #s(literal 1 binary64)) x) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/.f64 (fma.f64 lo (-.f64 (/.f64 x hi) #s(literal 1 binary64)) x) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x (pow hi 2)) |
(/.f64 (/.f64 x hi) hi) |
(/ x hi) |
(/.f64 x hi) |
(/ x hi) |
(/.f64 x hi) |
(/ x hi) |
(/.f64 x hi) |
(/ x hi) |
(/.f64 x hi) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 140 |
| 0 | 37 | 140 |
| 1 | 171 | 140 |
| 2 | 1545 | 140 |
| 0 | 8434 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64)) |
(/.f64 (-.f64 hi x) lo) |
(-.f64 hi x) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
(fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi)) |
(/.f64 (/.f64 x hi) hi) |
(/.f64 x hi) |
| Outputs |
|---|
#<batchref> |
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Compiled 29 224 to 3 324 computations (88.6% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 398 | 17 | 1 415 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 403 | 23 | 1 426 |
| Status | Accuracy | Program |
|---|---|---|
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (pow.f64 lo #s(literal -1 binary64)) (pow.f64 (pow.f64 hi #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (pow.f64 lo #s(literal -1 binary64)) hi #s(literal 1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 hi x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) | |
| ▶ | 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) |
| 11.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (pow.f64 (/.f64 lo hi) #s(literal 3 binary64)) (-.f64 x lo) (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo))) hi)) | |
| 15.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo)) hi)) | |
| ▶ | 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
| 11.1% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (fma.f64 (/.f64 lo (neg.f64 x)) x x)) hi)) | |
| ▶ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi (-.f64 x lo)))) | |
| 8.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal -1 binary64))) | |
| 18.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) | |
| 11.4% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (fma.f64 (/.f64 (neg.f64 lo) (*.f64 hi x)) x (/.f64 x hi)))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)))) | |
| ▶ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi))) | |
| 10.7% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)))) | |
| ▶ | 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
| ✓ | 18.6% | #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
Compiled 556 to 433 computations (22.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) | |
| cost-diff | 384 | (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) | |
| cost-diff | 1344 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) | |
| cost-diff | 0 | (/.f64 (-.f64 x lo) hi) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) | |
| cost-diff | 64 | (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) | |
| cost-diff | 0 | (/.f64 lo hi) | |
| cost-diff | 0 | (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (neg.f64 lo) | |
| cost-diff | 0 | #s(approx (- x lo) (neg.f64 lo)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) | |
| cost-diff | 0 | (/.f64 (/.f64 hi lo) lo) | |
| cost-diff | 0 | (*.f64 hi (/.f64 (/.f64 hi lo) lo)) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 349 |
| 0 | 71 | 349 |
| 1 | 119 | 349 |
| 2 | 214 | 349 |
| 3 | 466 | 346 |
| 4 | 1256 | 322 |
| 5 | 3478 | 322 |
| 6 | 6653 | 322 |
| 0 | 8217 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) |
(*.f64 hi (/.f64 (/.f64 hi lo) lo)) |
hi |
(/.f64 (/.f64 hi lo) lo) |
(/.f64 hi lo) |
lo |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
(/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) |
#s(approx (- x lo) (neg.f64 lo)) |
(neg.f64 lo) |
lo |
hi |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
#s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) |
(*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) |
(/.f64 lo hi) |
lo |
hi |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(/.f64 x hi) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
x |
lo |
hi |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) |
(/.f64 #s(literal 1 binary64) lo) |
#s(literal 1 binary64) |
(/.f64 (/.f64 x lo) hi) |
(/.f64 x lo) |
x |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) lo) hi))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) lo) hi)) |
(*.f64 hi (/.f64 (/.f64 hi lo) lo)) |
(*.f64 (/.f64 (/.f64 hi lo) lo) hi) |
hi |
(/.f64 (/.f64 hi lo) lo) |
(/.f64 hi lo) |
lo |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
(/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) |
#s(approx (- x lo) (neg.f64 lo)) |
(neg.f64 lo) |
lo |
hi |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo))) |
#s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo)) |
(*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(/.f64 lo hi) |
lo |
hi |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(/.f64 x hi) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (*.f64 (/.f64 (-.f64 (/.f64 lo hi) #s(literal -1 binary64)) hi) (-.f64 x lo))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(*.f64 (/.f64 (-.f64 (/.f64 lo hi) #s(literal -1 binary64)) hi) (-.f64 x lo)) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 lo hi)) (-.f64 lo x)) |
(/.f64 (-.f64 x lo) hi) |
(-.f64 x lo) |
x |
lo |
hi |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 #s(approx (/ (- hi x) lo) (/.f64 (-.f64 hi x) lo)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ (- hi x) lo) (/.f64 (-.f64 hi x) lo)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) |
#s(approx (/ (- hi x) lo) (/.f64 (-.f64 hi x) lo)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(/.f64 (-.f64 hi x) lo) |
(-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) lo) (-.f64 hi x)) |
(/.f64 #s(literal 1 binary64) lo) |
#s(literal 1 binary64) |
(/.f64 (/.f64 x lo) hi) |
(/.f64 x lo) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) | |
| accuracy | 1.0136581786531553 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) | |
| accuracy | 1.5450097071900935 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 x lo) | |
| accuracy | 0.29296875 | (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) | |
| accuracy | 1.5994269211570917 | (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) | |
| accuracy | 57.50333409538028 | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) | |
| accuracy | 0 | (-.f64 (/.f64 x hi) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) | |
| accuracy | 0.8530954722161358 | #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) | |
| accuracy | 51.94063286479916 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) | |
| accuracy | 0 | (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) | |
| accuracy | 0 | (neg.f64 lo) | |
| accuracy | 0.8470044280201466 | #s(approx (- x lo) (neg.f64 lo)) | |
| accuracy | 51.940436857255584 | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) | |
| accuracy | 0.0625 | (/.f64 (/.f64 hi lo) lo) | |
| accuracy | 0.9531567988409502 | (*.f64 hi (/.f64 (/.f64 hi lo) lo)) | |
| accuracy | 49.38852139113142 | #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
| 76.0ms | 256× | 0 | valid |
Compiled 451 to 69 computations (84.7% saved)
ival-div: 29.0ms (55.4% of total)ival-mult: 10.0ms (19.1% of total)ival-sub: 8.0ms (15.3% of total)ival-add: 4.0ms (7.6% of total)ival-neg: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) #<representation binary64>) () ()) |
#s(alt (*.f64 hi (/.f64 (/.f64 hi lo) lo)) (patch (*.f64 hi (/.f64 (/.f64 hi lo) lo)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 hi lo) lo) (patch (/.f64 (/.f64 hi lo) lo) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) (patch (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) #<representation binary64>) () ()) |
#s(alt #s(approx (- x lo) (neg.f64 lo)) (patch #s(approx (- x lo) (neg.f64 lo)) #<representation binary64>) () ()) |
#s(alt (neg.f64 lo) (patch (neg.f64 lo) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) (patch #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) (patch (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 lo hi) (patch (/.f64 lo hi) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) (patch (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) (patch (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) (patch (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) (patch (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x hi) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x hi) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x lo) (patch (-.f64 x lo) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* hi (- hi x)) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (/.f64 (/.f64 hi lo) lo)) (patch (*.f64 hi (/.f64 (/.f64 hi lo) lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (/.f64 (/.f64 hi lo) lo)) (patch (*.f64 hi (/.f64 (/.f64 hi lo) lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (/.f64 (/.f64 hi lo) lo)) (patch (*.f64 hi (/.f64 (/.f64 hi lo) lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (/.f64 (/.f64 hi lo) lo)) (patch (*.f64 hi (/.f64 (/.f64 hi lo) lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (/.f64 (/.f64 hi lo) lo) (patch (/.f64 (/.f64 hi lo) lo) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (/.f64 (/.f64 hi lo) lo) (patch (/.f64 (/.f64 hi lo) lo) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (/.f64 (/.f64 hi lo) lo) (patch (/.f64 (/.f64 hi lo) lo) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (/.f64 (/.f64 hi lo) lo) (patch (/.f64 (/.f64 hi lo) lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) (patch (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo hi)) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) (patch (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo hi)) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) (patch (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ lo hi)) (/ x hi)) (taylor 0 lo) (#s(alt (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) (patch (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 lo) (#s(alt #s(approx (- x lo) (neg.f64 lo)) (patch #s(approx (- x lo) (neg.f64 lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt #s(approx (- x lo) (neg.f64 lo)) (patch #s(approx (- x lo) (neg.f64 lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt #s(approx (- x lo) (neg.f64 lo)) (patch #s(approx (- x lo) (neg.f64 lo)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 lo)) (taylor 0 lo) (#s(alt #s(approx (- x lo) (neg.f64 lo)) (patch #s(approx (- x lo) (neg.f64 lo)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor 0 lo) (#s(alt (neg.f64 lo) (patch (neg.f64 lo) #<representation binary64>) () ())) ()) |
#s(alt (* -1 lo) (taylor 0 lo) (#s(alt (neg.f64 lo) (patch (neg.f64 lo) #<representation binary64>) () ())) ()) |
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#s(alt (/ lo hi) (taylor -inf hi) (#s(alt (/.f64 lo hi) (patch (/.f64 lo hi) #<representation binary64>) () ())) ()) |
#s(alt (- x lo) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) (patch (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (* lo (- x lo)) hi)) lo) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) (patch (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (* lo (- x lo)) hi)) lo) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) (patch (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (* lo (- x lo)) hi)) lo) (taylor -inf hi) (#s(alt (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) (patch (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) (patch #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) (patch (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) (taylor -inf hi) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) (patch (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) (taylor -inf hi) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) (patch (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) (taylor -inf hi) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) (patch (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt (/.f64 (-.f64 x lo) hi) (patch (/.f64 (-.f64 x lo) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor -inf hi) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) (patch (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) (taylor -inf hi) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) (patch (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) (taylor -inf hi) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) (patch (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) (taylor -inf hi) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) (patch (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 lo) (taylor -inf hi) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) (patch (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (* hi lo))) (/ 1 lo)) (taylor -inf hi) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) (patch (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (* hi lo))) (/ 1 lo)) (taylor -inf hi) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) (patch (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (* hi lo))) (/ 1 lo)) (taylor -inf hi) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) (patch (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x lo) hi) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) (taylor -inf hi) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor -inf hi) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) (taylor -inf hi) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) (taylor -inf hi) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) (taylor -inf hi) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf hi) (#s(alt (-.f64 (/.f64 x hi) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x hi) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x hi) 1) (taylor -inf hi) (#s(alt (-.f64 (/.f64 x hi) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x hi) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x hi) 1) (taylor -inf hi) (#s(alt (-.f64 (/.f64 x hi) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x hi) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x hi) 1) (taylor -inf hi) (#s(alt (-.f64 (/.f64 x hi) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x hi) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor -inf hi) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* hi (+ (/ 1 hi) (/ 1 lo))) (taylor -inf hi) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* hi (+ (/ 1 hi) (/ 1 lo))) (taylor -inf hi) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* hi (+ (/ 1 hi) (/ 1 lo))) (taylor -inf hi) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* hi (/ (/ hi lo) lo)) (/ (/ hi lo) lo) (/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (neg lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (* (/ lo hi) (- (/ x hi) 1)) (/ lo hi) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (/ (- x lo) hi) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ x hi) 1) (- x lo) (- (/ hi lo) -1)) |
| 5.0ms | x | @ | inf | ((/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* hi (/ (/ hi lo) lo)) (/ (/ hi lo) lo) (/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (neg lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (* (/ lo hi) (- (/ x hi) 1)) (/ lo hi) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (/ (- x lo) hi) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ x hi) 1) (- x lo) (- (/ hi lo) -1)) |
| 4.0ms | hi | @ | -inf | ((/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* hi (/ (/ hi lo) lo)) (/ (/ hi lo) lo) (/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (neg lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (* (/ lo hi) (- (/ x hi) 1)) (/ lo hi) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (/ (- x lo) hi) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ x hi) 1) (- x lo) (- (/ hi lo) -1)) |
| 4.0ms | lo | @ | -inf | ((/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* hi (/ (/ hi lo) lo)) (/ (/ hi lo) lo) (/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (neg lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (* (/ lo hi) (- (/ x hi) 1)) (/ lo hi) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (/ (- x lo) hi) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ x hi) 1) (- x lo) (- (/ hi lo) -1)) |
| 4.0ms | lo | @ | 0 | ((/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* hi (/ (/ hi lo) lo)) (/ (/ hi lo) lo) (/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (neg lo) (/ (- x lo) (- hi lo)) (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (* (/ lo hi) (- (/ x hi) 1)) (/ lo hi) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (/ (- x lo) hi) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ x hi) 1) (- x lo) (- (/ hi lo) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 452 | 8808 |
| 1 | 1390 | 8041 |
| 2 | 4328 | 7656 |
| 0 | 8811 | 7412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ x hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
x |
(+ x (* -1 lo)) |
(+ x (* -1 lo)) |
(+ x (* -1 lo)) |
(* -1 lo) |
(* -1 lo) |
(* -1 lo) |
(* -1 lo) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ x hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
x |
(+ x (* lo (- (/ x hi) 1))) |
(+ x (* lo (- (+ (* -1 (/ lo hi)) (/ x hi)) 1))) |
(+ x (* lo (- (+ (* -1 (/ lo hi)) (/ x hi)) 1))) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ x hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(+ (* lo (- (+ (* -1 (/ lo (pow hi 2))) (/ x (pow hi 2))) (/ 1 hi))) (/ x hi)) |
(+ (* lo (- (+ (* -1 (/ lo (pow hi 2))) (/ x (pow hi 2))) (/ 1 hi))) (/ x hi)) |
(/ x hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/ (* hi (- 1 (/ x hi))) lo) |
(/ (* hi (- 1 (/ x hi))) lo) |
(/ (* hi (- 1 (/ x hi))) lo) |
(/ (* hi (- 1 (/ x hi))) lo) |
(/ (- 1 (/ x hi)) lo) |
(/ (- 1 (/ x hi)) lo) |
(/ (- 1 (/ x hi)) lo) |
(/ (- 1 (/ x hi)) lo) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
x |
(+ x (* -1 lo)) |
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(+ x (* -1 lo)) |
(/ hi lo) |
(/ (+ hi lo) lo) |
(/ (+ hi lo) lo) |
(/ (+ hi lo) lo) |
1 |
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1 |
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(- (+ 1 (+ (/ hi lo) (/ (* hi (- hi x)) (pow lo 2)))) (/ x lo)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
1 |
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(- (+ 1 (+ (* -1 (/ x lo)) (/ (* hi (- (* -1 x) (* -1 hi))) (pow lo 2)))) (* -1 (/ hi lo))) |
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(* -1 lo) |
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(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(* -1 (/ (pow lo 2) hi)) |
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(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
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(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(* -1 (/ (pow lo 2) hi)) |
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(* -1 (/ (pow lo 2) (pow hi 2))) |
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(* (pow lo 2) (- (* -1 (/ (+ (* -1 (/ x (* hi lo))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi))) lo)) (/ 1 (pow hi 2)))) |
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(/ (* hi (+ 1 (* -1 (/ x hi)))) lo) |
(/ (* hi (+ 1 (* -1 (/ x hi)))) lo) |
(/ (* hi (+ 1 (* -1 (/ x hi)))) lo) |
(/ (* hi (+ 1 (* -1 (/ x hi)))) lo) |
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(/ (+ 1 (* -1 (/ x hi))) lo) |
(/ (+ 1 (* -1 (/ x hi))) lo) |
(/ (+ 1 (* -1 (/ x hi))) lo) |
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(* -1 lo) |
(- x lo) |
(- x lo) |
(- x lo) |
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(* -1 (/ lo hi)) |
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(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
(- (* x (+ (/ 1 hi) (/ lo (pow hi 2)))) (/ lo hi)) |
(* -1 (/ lo hi)) |
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(+ (* -1 (/ lo hi)) (/ (* lo x) (pow hi 2))) |
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(- (* -1 (/ (pow lo 2) hi)) lo) |
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(- (+ (* -1 (/ (pow lo 2) hi)) (* x (+ 1 (/ lo hi)))) lo) |
(- (+ (* -1 (/ (pow lo 2) hi)) (* x (+ 1 (/ lo hi)))) lo) |
(* -1 (/ lo (- hi lo))) |
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(+ (* -1 (/ lo (- hi lo))) (/ x (- hi lo))) |
(/ (- (* -1 (/ (pow lo 2) hi)) lo) hi) |
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(- (+ (* -1 (/ (pow lo 2) (pow hi 2))) (* x (+ (/ 1 hi) (/ lo (pow hi 2))))) (/ lo hi)) |
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(/ hi lo) |
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(+ (* -1 (/ x lo)) (/ hi lo)) |
(/ 1 lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
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-1 |
(- (/ x hi) 1) |
(- (/ x hi) 1) |
(- (/ x hi) 1) |
(* -1 lo) |
(- x lo) |
(- x lo) |
(- x lo) |
(/ x (- hi lo)) |
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(/ x hi) |
(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
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(/ x (- hi lo)) |
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(* x (+ (/ 1 hi) (/ lo (pow hi 2)))) |
(* x (+ (* -1 (/ lo (* hi x))) (+ (/ 1 hi) (/ lo (pow hi 2))))) |
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(* x (+ (* -1 (/ lo (* hi x))) (+ (/ 1 hi) (/ lo (pow hi 2))))) |
(/ (* lo x) (pow hi 2)) |
(* x (+ (* -1 (/ lo (* hi x))) (/ lo (pow hi 2)))) |
(* x (+ (* -1 (/ lo (* hi x))) (/ lo (pow hi 2)))) |
(* x (+ (* -1 (/ lo (* hi x))) (/ lo (pow hi 2)))) |
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(/ x (- hi lo)) |
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(/ (* x (+ 1 (/ lo hi))) hi) |
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(/ x hi) |
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(* x (+ (* -1 (/ lo (* hi x))) (/ 1 hi))) |
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(* -1 (* x (+ (/ 1 lo) (/ hi (pow lo 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
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(/ x hi) |
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(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
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(/ x (- hi lo)) |
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(* -1 (* x (- (* -1 (/ lo (pow hi 2))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))) (/ 1 hi)))) |
(/ (* lo x) (pow hi 2)) |
(* -1 (* x (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))))) |
(* -1 (* x (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))))) |
(* -1 (* x (+ (* -1 (/ lo (pow hi 2))) (/ lo (* hi x))))) |
(* -1 (* x (- (* -1 (/ lo hi)) 1))) |
(* -1 (* x (- (+ (* -1 (/ lo hi)) (* -1 (/ (- (* -1 (/ (pow lo 2) hi)) lo) x))) 1))) |
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(* -1 (* x (- (+ (* -1 (/ lo hi)) (* -1 (/ (- (* -1 (/ (pow lo 2) hi)) lo) x))) 1))) |
(/ x (- hi lo)) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
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(* -1 (/ (* x (- (* -1 (/ lo hi)) 1)) hi)) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (* -1 (/ (- (* -1 (/ (pow lo 2) (pow hi 2))) (/ lo hi)) x))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (* -1 (/ (- (* -1 (/ (pow lo 2) (pow hi 2))) (/ lo hi)) x))) (/ 1 hi)))) |
(* -1 (* x (- (+ (* -1 (/ lo (pow hi 2))) (* -1 (/ (- (* -1 (/ (pow lo 2) (pow hi 2))) (/ lo hi)) x))) (/ 1 hi)))) |
(/ x hi) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
(* -1 (* x (- (/ lo (* hi x)) (/ 1 hi)))) |
(* -1 (/ x lo)) |
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(* -1 (* x (- (/ lo (* x (- hi lo))) (/ 1 (- hi lo))))) |
(* -1 (* x (+ (/ 1 lo) (/ hi (pow lo 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* hi (+ 1 (/ hi lo))) lo)) x)) (+ (/ 1 lo) (/ hi (pow lo 2)))))) |
(/ x hi) |
(* -1 (* x (- (/ 1 x) (/ 1 hi)))) |
(* -1 (* x (- (/ 1 x) (/ 1 hi)))) |
(* -1 (* x (- (/ 1 x) (/ 1 hi)))) |
x |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (* x (- (/ lo x) 1))) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(+ 1 (* -1 (/ x lo))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(/ (* lo x) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo x)) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo x)) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo x)) (pow hi 2)) |
(/ (* lo x) (pow hi 2)) |
(/ (+ (* -1 (* hi lo)) (* lo x)) (pow hi 2)) |
(/ (+ (* -1 (* hi lo)) (* lo x)) (pow hi 2)) |
(/ (+ (* -1 (* hi lo)) (* lo x)) (pow hi 2)) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ (* lo (- x lo)) hi) |
(/ (+ (* hi (- x lo)) (* lo (- x lo))) hi) |
(/ (+ (* hi (- x lo)) (* lo (- x lo))) hi) |
(/ (+ (* hi (- x lo)) (* lo (- x lo))) hi) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(/ (* lo (- x lo)) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo (- x lo))) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo (- x lo))) (pow hi 2)) |
(/ (+ (* hi (- x lo)) (* lo (- x lo))) (pow hi 2)) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(* -1 (/ x lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(* -1 (/ x (* hi lo))) |
(/ (- (/ hi lo) (/ x lo)) hi) |
(/ (- (/ hi lo) (/ x lo)) hi) |
(/ (- (/ hi lo) (/ x lo)) hi) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(+ 1 (* -1 (/ x lo))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(/ x hi) |
(/ (+ x (* -1 hi)) hi) |
(/ (+ x (* -1 hi)) hi) |
(/ (+ x (* -1 hi)) hi) |
1 |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(+ 1 (/ hi lo)) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(/ (- (+ x (/ (* lo x) hi)) lo) hi) |
(* -1 (/ lo hi)) |
(/ (+ (* -1 lo) (/ (* lo x) hi)) hi) |
(/ (+ (* -1 lo) (/ (* lo x) hi)) hi) |
(/ (+ (* -1 lo) (/ (* lo x) hi)) hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(- x lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ hi lo) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(/ 1 lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
-1 |
(- (/ x hi) 1) |
(- (/ x hi) 1) |
(- (/ x hi) 1) |
(/ hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ lo hi)) |
(* -1 (/ (+ lo (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ (+ lo (* -1 (/ (* lo x) hi))) hi)) |
(* -1 (/ (+ lo (* -1 (/ (* lo x) hi))) hi)) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(/ lo hi) |
(- x lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ (- x lo) hi) |
(/ hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(/ 1 lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
-1 |
(- (/ x hi) 1) |
(- (/ x hi) 1) |
(- (/ x hi) 1) |
(/ hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
| Outputs |
|---|
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (+.f64 lo hi) x) lo (*.f64 (-.f64 hi x) hi)) lo) lo) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (+.f64 lo hi) x) lo (*.f64 (-.f64 hi x) hi)) lo) lo) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/.f64 (-.f64 x lo) hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/.f64 (-.f64 x lo) hi) |
(+ (* -1 (/ lo hi)) (/ x hi)) |
(/.f64 (-.f64 x lo) hi) |
x |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(+ x (* -1 lo)) |
(-.f64 x lo) |
(* -1 lo) |
(neg.f64 lo) |
(* -1 lo) |
(neg.f64 lo) |
(* -1 lo) |
(neg.f64 lo) |
(* -1 lo) |
(neg.f64 lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(/ x hi) |
(/.f64 x hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(+ (* lo (- (/ x (pow hi 2)) (/ 1 hi))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(/ (* lo (- (/ x hi) 1)) hi) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(/ (* lo (- (/ x hi) 1)) hi) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(/ (* lo (- (/ x hi) 1)) hi) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(/ (* lo (- (/ x hi) 1)) hi) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(/ lo hi) |
(/.f64 lo hi) |
(/ lo hi) |
(/.f64 lo hi) |
(/ lo hi) |
(/.f64 lo hi) |
(/ lo hi) |
(/.f64 lo hi) |
x |
(+ x (* lo (- (/ x hi) 1))) |
(fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) |
(+ x (* lo (- (+ (* -1 (/ lo hi)) (/ x hi)) 1))) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(+ x (* lo (- (+ (* -1 (/ lo hi)) (/ x hi)) 1))) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi)) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
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1 |
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(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) hi) (/.f64 (/.f64 x hi) hi)) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) lo)) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) hi) (/.f64 (/.f64 x hi) hi)) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) lo)) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
-1 |
#s(literal -1 binary64) |
(- (/ x hi) 1) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(- (/ x hi) 1) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(- (/ x hi) 1) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(/ hi lo) |
(/.f64 hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (-.f64 x (-.f64 lo (/.f64 (fma.f64 (-.f64 x lo) lo (*.f64 lo (*.f64 (/.f64 (-.f64 x lo) hi) lo))) hi))) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (fma.f64 (*.f64 (-.f64 x lo) lo) lo (*.f64 (/.f64 (-.f64 x lo) hi) (pow.f64 lo #s(literal 3 binary64)))) hi)) hi) (-.f64 x lo)) hi) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 x lo) lo) (/.f64 #s(literal 1 binary64) lo)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 x lo) lo) (/.f64 #s(literal 1 binary64) lo)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) hi)) (*.f64 hi hi)) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (-.f64 x (-.f64 lo (/.f64 (fma.f64 (-.f64 x lo) lo (*.f64 lo (*.f64 (/.f64 (-.f64 x lo) hi) lo))) hi))) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (fma.f64 (*.f64 (-.f64 x lo) lo) lo (*.f64 (/.f64 (-.f64 x lo) hi) (pow.f64 lo #s(literal 3 binary64)))) hi)) hi) (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (-.f64 x (-.f64 lo (/.f64 (fma.f64 (-.f64 x lo) lo (*.f64 lo (*.f64 (/.f64 (-.f64 x lo) hi) lo))) hi))) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (fma.f64 (*.f64 (-.f64 x lo) lo) lo (*.f64 (/.f64 (-.f64 x lo) hi) (pow.f64 lo #s(literal 3 binary64)))) hi)) hi) (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo x) hi))) hi)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) lo x) hi) |
(* -1 (/ lo hi)) |
(/.f64 (neg.f64 lo) hi) |
(* -1 (/ (+ lo (* -1 (/ (* lo x) hi))) hi)) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(* -1 (/ (+ lo (* -1 (/ (* lo x) hi))) hi)) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(* -1 (/ (+ lo (* -1 (/ (* lo x) hi))) hi)) |
(*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo) |
(/ lo hi) |
(/.f64 lo hi) |
(/ lo hi) |
(/.f64 lo hi) |
(/ lo hi) |
(/.f64 lo hi) |
(/ lo hi) |
(/.f64 lo hi) |
(- x lo) |
(-.f64 x lo) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(- (+ x (/ (* lo (- x lo)) hi)) lo) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (-.f64 x (-.f64 lo (/.f64 (fma.f64 (-.f64 x lo) lo (*.f64 lo (*.f64 (/.f64 (-.f64 x lo) hi) lo))) hi))) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (fma.f64 (*.f64 (-.f64 x lo) lo) lo (*.f64 (/.f64 (-.f64 x lo) hi) (pow.f64 lo #s(literal 3 binary64)))) hi)) hi) (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(/ hi lo) |
(/.f64 hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(/ 1 lo) |
(/.f64 #s(literal 1 binary64) lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) |
(/ (- x lo) hi) |
(/.f64 (-.f64 x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(/.f64 (-.f64 x (-.f64 lo (/.f64 (fma.f64 (-.f64 x lo) lo (*.f64 lo (*.f64 (/.f64 (-.f64 x lo) hi) lo))) hi))) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x lo) lo (/.f64 (fma.f64 (*.f64 (-.f64 x lo) lo) lo (*.f64 (/.f64 (-.f64 x lo) hi) (pow.f64 lo #s(literal 3 binary64)))) hi)) hi) (-.f64 x lo)) hi) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 x lo) lo) (/.f64 #s(literal 1 binary64) lo)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 x lo) lo) (/.f64 #s(literal 1 binary64) lo)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)) hi)) (*.f64 hi hi)) |
-1 |
#s(literal -1 binary64) |
(- (/ x hi) 1) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(- (/ x hi) 1) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(- (/ x hi) 1) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(/ hi lo) |
(/.f64 hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(+.f64 (/.f64 hi lo) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 296 |
| 0 | 71 | 296 |
| 1 | 294 | 290 |
| 2 | 2818 | 282 |
| 0 | 8995 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo))) |
(*.f64 hi (/.f64 (/.f64 hi lo) lo)) |
(/.f64 (/.f64 hi lo) lo) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
(/.f64 #s(approx (- x lo) (neg.f64 lo)) hi) |
#s(approx (- x lo) (neg.f64 lo)) |
(neg.f64 lo) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
#s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64)))) |
(*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))) |
(/.f64 lo hi) |
(fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi) |
(/.f64 (-.f64 x lo) hi) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi) |
(-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64)) |
(-.f64 (/.f64 x hi) #s(literal 1 binary64)) |
(-.f64 x lo) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
| Outputs |
|---|
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Compiled 29 219 to 4 195 computations (85.6% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 531 | 30 | 1 561 |
| Fresh | 3 | 13 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 536 | 48 | 1 584 |
| Status | Accuracy | Program |
|---|---|---|
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (pow.f64 lo #s(literal -1 binary64)) (pow.f64 (pow.f64 hi #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (pow.f64 lo #s(literal -1 binary64)) hi #s(literal 1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 hi) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 hi #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (neg.f64 x) lo) hi) hi))) #s(literal 1 binary64))) | |
| ▶ | 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
| ▶ | 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
| 11.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (pow.f64 (/.f64 lo hi) #s(literal 3 binary64)) (-.f64 x lo) (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo))) hi)) | |
| 15.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo)) hi)) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 hi (-.f64 x lo))) lo (-.f64 x lo)) hi)) | |
| 15.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 lo (/.f64 (*.f64 (/.f64 (-.f64 x lo) hi) lo) hi) (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo))) hi)) | |
| 10.0% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo x) lo) hi)) | |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
| 11.1% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (fma.f64 (/.f64 lo (neg.f64 x)) x x)) hi)) | |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (+ (* (/ (- x lo) hi) lo) (- x lo)) (neg.f64 (fma.f64 lo (/.f64 lo hi) lo))) hi)) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)))) (pow.f64 (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo))))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi #s(approx (- x lo) (neg.f64 lo))))) | |
| 10.0% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo x) hi) (/.f64 lo hi))) | |
| 8.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal -1 binary64))) | |
| ▶ | 18.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
| 11.4% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (fma.f64 (/.f64 (neg.f64 lo) (*.f64 hi x)) x (/.f64 x hi)))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)))) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (*.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (+.f64 lo hi) hi)))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo))) | |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow.f64 (/.f64 lo hi) #s(literal -2 binary64)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (/.f64 hi lo) (/.f64 lo hi)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo))) | |
| 15.0% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 hi (*.f64 (/.f64 lo hi) lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 lo hi) #s(literal 2 binary64))))) | |
| ▶ | 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) (pow.f64 (neg.f64 hi) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) lo) (/.f64 #s(literal 1 binary64) (pow.f64 hi #s(literal -1 binary64)))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 (neg.f64 hi) #s(literal -1 binary64))) (/.f64 hi lo)))) | |
| 10.7% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 hi (/.f64 lo (neg.f64 hi))) (/.f64 #s(literal -1 binary64) lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 lo (neg.f64 hi))) (/.f64 (neg.f64 hi) lo)))) | |
| ✓ | 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
| 15.0% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 lo hi) lo))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 (/.f64 (neg.f64 hi) lo) (/.f64 #s(literal -1 binary64) lo))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 hi #s(literal -1 binary64))))))) | |
| ▶ | 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) |
| 15.0% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 lo hi) lo)) #s(literal -1 binary64)))))) | |
| ✓ | 18.6% | #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
Compiled 1 268 to 958 computations (24.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 lo #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) | |
| cost-diff | 0 | (/.f64 hi lo) | |
| cost-diff | 0 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 hi lo) | |
| cost-diff | 0 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x lo) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x lo)) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) | |
| cost-diff | 0 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) | |
| cost-diff | 448 | (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) | |
| cost-diff | 5376 | (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 384 |
| 0 | 62 | 383 |
| 1 | 109 | 376 |
| 2 | 228 | 361 |
| 3 | 547 | 361 |
| 4 | 1418 | 361 |
| 5 | 4522 | 356 |
| 6 | 7785 | 356 |
| 0 | 8335 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) |
(*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) |
hi |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)) |
(/.f64 #s(literal -1 binary64) lo) |
lo |
(/.f64 lo hi) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
#s(literal 1 binary64) |
(/.f64 x lo) |
x |
lo |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- hi x) lo) (/.f64 hi lo)) |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) |
(*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi) |
#s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) |
(/.f64 #s(literal 1 binary64) lo) |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) |
(*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) |
(pow.f64 lo #s(literal -1 binary64)) |
lo |
#s(literal -1 binary64) |
(*.f64 (/.f64 hi lo) hi) |
(/.f64 hi lo) |
hi |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo)) |
(*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) |
(/.f64 (*.f64 (/.f64 hi lo) hi) lo) |
hi |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) |
(*.f64 (pow.f64 lo #s(literal -2 binary64)) hi) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)) |
(*.f64 (pow.f64 lo #s(literal -2 binary64)) (neg.f64 hi)) |
(/.f64 #s(literal -1 binary64) lo) |
lo |
(/.f64 lo hi) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
#s(literal 1 binary64) |
(/.f64 x lo) |
x |
lo |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- hi x) lo) (/.f64 hi lo)) |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (pow.f64 lo #s(literal -1 binary64))) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (pow.f64 lo #s(literal -1 binary64))) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
hi |
lo |
#s(literal -1 binary64) |
#s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) |
#s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (pow.f64 lo #s(literal -1 binary64))) hi)) |
(*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi) |
(*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (pow.f64 lo #s(literal -1 binary64))) hi) |
#s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) |
#s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (pow.f64 lo #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) lo) |
(pow.f64 lo #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo)) |
(*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) |
(/.f64 (*.f64 (/.f64 hi lo) hi) lo) |
(pow.f64 lo #s(literal -1 binary64)) |
lo |
#s(literal -1 binary64) |
(*.f64 (/.f64 hi lo) hi) |
(/.f64 hi lo) |
hi |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.203125 | (*.f64 (/.f64 hi lo) hi) | |
| accuracy | 19.647791146918262 | (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) | |
| accuracy | 49.38852139113142 | #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) | |
| accuracy | 0.7660621900653937 | #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) | |
| accuracy | 1.0136581786531553 | (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi) | |
| accuracy | 1.5450097071900935 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) | |
| accuracy | 0.07421875 | (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) | |
| accuracy | 0.8379880661814297 | #s(approx (/ (- hi x) lo) (/.f64 hi lo)) | |
| accuracy | 1.5450097071900935 | (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x lo) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x lo)) | |
| accuracy | 52.072852691054656 | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) | |
| accuracy | 0.26171875 | (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)) | |
| accuracy | 0.9531567988409502 | (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) | |
| accuracy | 49.38852139113142 | #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) | |
| accuracy | 52.00831066505531 | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) |
| 60.0ms | 256× | 0 | valid |
Compiled 438 to 61 computations (86.1% saved)
ival-div: 16.0ms (38.9% of total)ival-mult: 10.0ms (24.3% of total)ival-sub: 8.0ms (19.4% of total)ival-pow: 6.0ms (14.6% of total)ival-add: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) (patch (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) (patch (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x lo)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x lo)) #<representation binary64>) () ()) |
#s(alt (/.f64 x lo) (patch (/.f64 x lo) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 hi lo) (patch (/.f64 hi lo) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) (patch (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) #<representation binary64>) () ()) |
#s(alt (pow.f64 lo #s(literal -1 binary64)) (patch (pow.f64 lo #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)) (patch (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- hi x) lo) (/.f64 hi lo)) (patch #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi) (patch (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) (patch #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 hi lo) hi) (patch (*.f64 (/.f64 hi lo) hi) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) (patch (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) (patch (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) (patch (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) (patch (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) (patch (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) (patch (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) (patch (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) #<representation binary64>) () ())) ()) |
#s(alt (/ hi (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) (patch (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) (patch #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* hi (- hi x)) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) (patch #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) (patch #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x lo)) (taylor 0 lo) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x lo)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- lo x) lo) (taylor 0 lo) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x lo)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- lo x) lo) (taylor 0 lo) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x lo)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- lo x) lo) (taylor 0 lo) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x lo)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x lo)) #<representation binary64>) () ())) ()) |
#s(alt (/ x lo) (taylor 0 lo) (#s(alt (/.f64 x lo) (patch (/.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x lo) (taylor 0 lo) (#s(alt (/.f64 x lo) (patch (/.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x lo) (taylor 0 lo) (#s(alt (/.f64 x lo) (patch (/.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x lo) (taylor 0 lo) (#s(alt (/.f64 x lo) (patch (/.f64 x lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* hi (- hi x)) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor 0 lo) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ hi lo) lo) (taylor 0 lo) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ hi lo) lo) (taylor 0 lo) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ hi lo) lo) (taylor 0 lo) (#s(alt (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (patch (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor 0 lo) (#s(alt (/.f64 hi lo) (patch (/.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor 0 lo) (#s(alt (/.f64 hi lo) (patch (/.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor 0 lo) (#s(alt (/.f64 hi lo) (patch (/.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (/ hi lo) (taylor 0 lo) (#s(alt (/.f64 hi lo) (patch (/.f64 hi lo) #<representation binary64>) () ())) ()) |
#s(alt (/ x hi) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) (taylor 0 lo) (#s(alt #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) (patch #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* hi (- hi x)) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) (taylor 0 lo) (#s(alt (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) (patch (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow hi 2) (pow lo 2)) (taylor 0 lo) (#s(alt (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) (patch (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | lo | @ | -inf | ((* hi (* -1 (/ (/ -1 lo) (/ lo hi)))) (* -1 (/ (/ -1 lo) (/ lo hi))) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/ (- x lo) (- hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* (pow lo -1) (* (/ hi lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow lo -1) (/ (/ -1 lo) (/ lo hi)) (/ (- hi x) lo) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (* (/ hi lo) hi)) |
| 3.0ms | hi | @ | -inf | ((* hi (* -1 (/ (/ -1 lo) (/ lo hi)))) (* -1 (/ (/ -1 lo) (/ lo hi))) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/ (- x lo) (- hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* (pow lo -1) (* (/ hi lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow lo -1) (/ (/ -1 lo) (/ lo hi)) (/ (- hi x) lo) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (* (/ hi lo) hi)) |
| 3.0ms | lo | @ | 0 | ((* hi (* -1 (/ (/ -1 lo) (/ lo hi)))) (* -1 (/ (/ -1 lo) (/ lo hi))) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/ (- x lo) (- hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* (pow lo -1) (* (/ hi lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow lo -1) (/ (/ -1 lo) (/ lo hi)) (/ (- hi x) lo) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (* (/ hi lo) hi)) |
| 3.0ms | hi | @ | inf | ((* hi (* -1 (/ (/ -1 lo) (/ lo hi)))) (* -1 (/ (/ -1 lo) (/ lo hi))) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/ (- x lo) (- hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* (pow lo -1) (* (/ hi lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow lo -1) (/ (/ -1 lo) (/ lo hi)) (/ (- hi x) lo) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (* (/ hi lo) hi)) |
| 2.0ms | hi | @ | 0 | ((* hi (* -1 (/ (/ -1 lo) (/ lo hi)))) (* -1 (/ (/ -1 lo) (/ lo hi))) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/ (- x lo) (- hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (* (pow lo -1) (* (/ hi lo) hi)) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow lo -1) (/ (/ -1 lo) (/ lo hi)) (/ (- hi x) lo) (* (- (/ 1 lo) (/ (/ x lo) hi)) hi) (- (/ 1 lo) (/ (/ x lo) hi)) (* (/ hi lo) hi)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 7979 |
| 1 | 912 | 7375 |
| 2 | 2872 | 6804 |
| 0 | 8465 | 6639 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(* -1 (/ x lo)) |
(/ (- lo x) lo) |
(/ (- lo x) lo) |
(/ (- lo x) lo) |
(/ x lo) |
(/ x lo) |
(/ x lo) |
(/ x lo) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/ hi lo) |
(/ (+ hi lo) lo) |
(/ (+ hi lo) lo) |
(/ (+ hi lo) lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
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(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(+ 1 (* -1 (/ x lo))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(* -1 (/ (- x lo) lo)) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (/ 1 lo) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
(+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (* hi (- (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) (pow lo 2)) (* -1 (/ (- (/ 1 lo) (/ x (pow lo 2))) lo)))) (/ 1 lo)) (/ x (pow lo 2))))) |
(+ 1 (* -1 (/ x lo))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(+ 1 (+ (* -1 (/ x lo)) (* hi (+ (* -1 (/ x (pow lo 2))) (+ (/ 1 lo) (/ hi (pow lo 2))))))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ x lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(* -1 (/ x lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(+ (* -1 (/ x lo)) (/ hi lo)) |
(* -1 (/ x (* hi lo))) |
(/ (- (/ hi lo) (/ x lo)) hi) |
(/ (- (/ hi lo) (/ x lo)) hi) |
(/ (- (/ hi lo) (/ x lo)) hi) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(/ hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (- x lo) hi) |
(/ (- (+ x (/ (* lo (- x lo)) hi)) lo) hi) |
(/ (- (+ x (/ (* (pow lo 2) (- x lo)) (pow hi 2))) (+ lo (* -1 (/ (* lo (- x lo)) hi)))) hi) |
(/ (- (+ x (/ (* (pow lo 3) (- x lo)) (pow hi 3))) (+ lo (+ (* -1 (/ (* lo (- x lo)) hi)) (* -1 (/ (* (pow lo 2) (- x lo)) (pow hi 2)))))) hi) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (* -1 (/ x (* (pow hi 2) lo))) (+ (/ 1 (* hi lo)) (+ (/ 1 (pow hi 2)) (/ 1 (pow lo 2))))))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(/ hi lo) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(/ hi lo) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(* hi (+ (* -1 (/ x (* hi lo))) (/ 1 lo))) |
(/ 1 lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ hi (pow lo 2)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(/ hi lo) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(* hi (+ (/ 1 hi) (/ 1 lo))) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ hi lo) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (pow hi 2) (pow lo 2)) |
(/ (- x lo) hi) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (* lo (- x lo)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* lo (- x lo)) (/ (* (pow lo 2) (- x lo)) hi)) hi))) hi)) |
(* -1 (/ (+ (* -1 (- x lo)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow lo 2) (- x lo))) (* -1 (/ (* (pow lo 3) (- x lo)) hi))) hi)) (* lo (- x lo))) hi))) hi)) |
(/ (pow hi 2) (pow lo 2)) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(* -1 (/ hi (pow lo 2))) |
(/ hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(/ hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(/ 1 lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
(/ (pow hi 2) lo) |
| Outputs |
|---|
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ hi (pow lo 2)) |
(/.f64 hi (*.f64 lo lo)) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+.f64 (/.f64 (-.f64 x lo) hi) (*.f64 (/.f64 (/.f64 x hi) hi) lo)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 hi x) hi (*.f64 (-.f64 (+.f64 lo hi) x) lo)) lo) lo) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 hi x) hi (*.f64 (-.f64 (+.f64 lo hi) x) lo)) lo) lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+.f64 (/.f64 (-.f64 x lo) hi) (*.f64 (/.f64 (/.f64 x hi) hi) lo)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(* -1 (/ x lo)) |
(/.f64 (neg.f64 x) lo) |
(/ (- lo x) lo) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
(/ (- lo x) lo) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
(/ (- lo x) lo) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
(/ x lo) |
(/.f64 x lo) |
(/ x lo) |
(/.f64 x lo) |
(/ x lo) |
(/.f64 x lo) |
(/ x lo) |
(/.f64 x lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+.f64 (/.f64 (-.f64 x lo) hi) (*.f64 (/.f64 (/.f64 x hi) hi) lo)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 hi x) hi (*.f64 (-.f64 (+.f64 lo hi) x) lo)) lo) lo) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 hi x) hi (*.f64 (-.f64 (+.f64 lo hi) x) lo)) lo) lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ (+ hi lo) lo) |
(/.f64 (+.f64 lo hi) lo) |
(/ (+ hi lo) lo) |
(/.f64 (+.f64 lo hi) lo) |
(/ (+ hi lo) lo) |
(/.f64 (+.f64 lo hi) lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ hi lo) |
(/.f64 hi lo) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+.f64 (/.f64 (-.f64 x lo) hi) (*.f64 (/.f64 (/.f64 x hi) hi) lo)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 hi #s(literal 4 binary64))) lo) (/.f64 lo (pow.f64 hi #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) hi) hi) (/.f64 x (pow.f64 hi #s(literal 3 binary64))))) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(/ (* hi (- hi x)) (pow lo 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi) |
(/ (+ (* hi (- hi x)) (* lo (- hi x))) (pow lo 2)) |
(*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 hi x) hi (*.f64 (-.f64 (+.f64 lo hi) x) lo)) lo) lo) |
(/ (+ (* hi (- hi x)) (* lo (- (+ hi lo) x))) (pow lo 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 hi x) hi (*.f64 (-.f64 (+.f64 lo hi) x) lo)) lo) lo) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ (pow hi 2) (pow lo 2)) |
(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(/ x hi) |
(/.f64 x hi) |
(+ (* -1 (* lo (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(+.f64 (/.f64 (-.f64 x lo) hi) (*.f64 (/.f64 (/.f64 x hi) hi) lo)) |
(+ (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 hi #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) hi) hi)) lo (-.f64 (/.f64 (/.f64 x hi) hi) (/.f64 #s(literal 1 binary64) hi))) lo (/.f64 x hi)) |
(+ (* lo (- (* lo (- (* -1 (* lo (+ (* -1 (/ x (pow hi 4))) (/ 1 (pow hi 3))))) (+ (* -1 (/ x (pow hi 3))) (/ 1 (pow hi 2))))) (+ (* -1 (/ x (pow hi 2))) (/ 1 hi)))) (/ x hi)) |
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(*.f64 hi (/.f64 hi (*.f64 lo lo))) |
(* (pow hi 2) (+ (* -1 (/ x (* hi (pow lo 2)))) (+ (/ 1 (* hi lo)) (/ 1 (pow lo 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (/.f64 #s(literal 1 binary64) lo) hi)) (/.f64 (/.f64 (/.f64 x lo) lo) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x lo) lo) hi) (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo))) hi)) (*.f64 hi hi)) |
(* (pow hi 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ x (pow lo 2))) (/ 1 lo))) (* -1 (/ (+ 1 (* -1 (/ x lo))) hi))) hi)) (/ 1 (pow lo 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) lo) lo) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x lo) lo) hi) (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo))) hi)) (*.f64 hi hi)) |
(* -1 (/ hi (pow lo 2))) |
(/.f64 (neg.f64 hi) (*.f64 lo lo)) |
(* -1 (/ hi (pow lo 2))) |
(/.f64 (neg.f64 hi) (*.f64 lo lo)) |
(* -1 (/ hi (pow lo 2))) |
(/.f64 (neg.f64 hi) (*.f64 lo lo)) |
(* -1 (/ hi (pow lo 2))) |
(/.f64 (neg.f64 hi) (*.f64 lo lo)) |
(/ hi lo) |
(/.f64 hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(/ hi lo) |
(/.f64 hi lo) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(* -1 (* hi (- (/ x (* hi lo)) (/ 1 lo)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi) |
(/ 1 lo) |
(/.f64 #s(literal 1 binary64) lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) |
(+ (* -1 (/ x (* hi lo))) (/ 1 lo)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) |
(/ (pow hi 2) lo) |
(*.f64 (/.f64 hi lo) hi) |
(/ (pow hi 2) lo) |
(*.f64 (/.f64 hi lo) hi) |
(/ (pow hi 2) lo) |
(*.f64 (/.f64 hi lo) hi) |
(/ (pow hi 2) lo) |
(*.f64 (/.f64 hi lo) hi) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 326 |
| 0 | 62 | 325 |
| 1 | 260 | 291 |
| 2 | 2268 | 283 |
| 0 | 8328 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi))))) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
(-.f64 #s(literal 1 binary64) (/.f64 x lo)) |
(/.f64 x lo) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64)) |
(-.f64 (/.f64 hi lo) #s(literal -1 binary64)) |
(/.f64 hi lo) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) |
#s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi))) |
(pow.f64 lo #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)) |
#s(approx (/ (- hi x) lo) (/.f64 hi lo)) |
(*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi) |
#s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) |
(*.f64 (/.f64 hi lo) hi) |
| Outputs |
|---|
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Compiled 23 958 to 2 874 computations (88% saved)
52 alts after pruning (44 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 543 | 13 | 1 556 |
| Fresh | 7 | 31 | 38 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 552 | 52 | 1 604 |
| Status | Accuracy | Program |
|---|---|---|
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 hi) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 (pow.f64 hi #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 (pow.f64 hi #s(literal -1 binary64))))) #s(literal 1 binary64))) | |
| ✓ | 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
| ✓ | 18.7% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
| 8.6% | #s(approx (/ (- x lo) (- hi lo)) (fma.f64 #s(approx (- (/ hi lo) -1) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) | |
| 11.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (pow.f64 (/.f64 lo hi) #s(literal 3 binary64)) (-.f64 x lo) (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo))) hi)) | |
| 15.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo)) hi)) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 hi (-.f64 x lo))) lo (-.f64 x lo)) hi)) | |
| 15.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 lo (/.f64 (*.f64 (/.f64 (-.f64 x lo) hi) lo) hi) (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo))) hi)) | |
| 10.0% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo x) lo) hi)) | |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
| 11.1% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (fma.f64 (/.f64 lo (neg.f64 x)) x x)) hi)) | |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (+ (* (/ (- x lo) hi) lo) (- x lo)) (neg.f64 (fma.f64 lo (/.f64 lo hi) lo))) hi)) | |
| 18.7% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)))) (pow.f64 (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo))))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi #s(approx (- x lo) (neg.f64 lo))))) | |
| 10.0% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo x) hi) (/.f64 lo hi))) | |
| 8.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal -1 binary64))) | |
| ✓ | 18.6% | #s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
| 11.4% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (fma.f64 (/.f64 (neg.f64 lo) (*.f64 hi x)) x (/.f64 x hi)))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)))) | |
| 10.2% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (*.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (+.f64 lo hi) hi)))) | |
| 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo))) | |
| ✓ | 18.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow.f64 (/.f64 lo hi) #s(literal -2 binary64)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo))) | |
| 15.0% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 hi (*.f64 (/.f64 lo hi) lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 lo hi) #s(literal 2 binary64))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 hi lo) #s(literal -2 binary64))))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 (pow.f64 hi #s(literal -1 binary64)))) hi)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 hi) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) lo)) hi)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 hi)) hi)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) (pow.f64 (neg.f64 hi) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) lo) (/.f64 #s(literal 1 binary64) (pow.f64 hi #s(literal -1 binary64)))))) | |
| 10.7% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (neg.f64 hi) (/.f64 lo hi)) (/.f64 #s(literal -1 binary64) lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 lo (neg.f64 hi))) (/.f64 (neg.f64 hi) lo)))) | |
| 14.8% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 #s(literal 1 binary64) lo) (*.f64 (/.f64 hi lo) hi)))) | |
| ✓ | 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 (neg.f64 lo) hi))))) | |
| 15.0% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 lo hi) lo))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 (/.f64 (neg.f64 hi) lo) (/.f64 #s(literal -1 binary64) lo))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 hi #s(literal -1 binary64))))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) lo) hi) lo))))) | |
| 19.1% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) lo) hi) (pow.f64 lo #s(literal -1 binary64))))))) | |
| 15.0% | #s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 lo hi) lo)) #s(literal -1 binary64)))))) | |
| ✓ | 18.6% | #s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
Compiled 1 682 to 854 computations (49.2% saved)
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal -1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) |
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 #s(approx (- (/ hi lo) -1) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi #s(approx (- x lo) (neg.f64 lo))))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi (-.f64 x lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 hi (*.f64 (/.f64 lo hi) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (*.f64 (/.f64 hi lo) hi) lo))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 (-.f64 hi x) lo) lo) hi))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) #s(literal 1 binary64))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (/ (/ x hi) hi) lo) (/ (- x lo) hi)) (*.f64 (/.f64 (-.f64 (/.f64 x hi) #s(literal 1 binary64)) hi) lo))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (+ (* (/ (- x lo) hi) lo) (- x lo)) (neg.f64 (fma.f64 lo (/.f64 lo hi) lo))) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (fma.f64 (/.f64 lo (neg.f64 x)) x x)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 lo hi) lo))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 #s(literal 1 binary64) lo) (*.f64 (/.f64 hi lo) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (*.f64 (neg.f64 lo) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x lo)) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (-.f64 hi x) lo) (/.f64 (+.f64 lo hi) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 (/.f64 hi lo) (/.f64 lo hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (*.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (+.f64 lo hi) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 (/.f64 (neg.f64 hi) lo) (/.f64 #s(literal -1 binary64) lo))))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo x) lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (+.f64 (/.f64 hi lo) #s(literal 1 binary64)) lo) (-.f64 hi x) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (/ (- x lo) hi) (fma.f64 (/.f64 (neg.f64 lo) (*.f64 hi x)) x (/.f64 x hi)))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 hi) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) lo) hi) lo))))) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x hi) lo) hi (-.f64 x hi)) lo))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 (neg.f64 lo) hi))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 hi (/.f64 lo (neg.f64 hi))) (/.f64 #s(literal -1 binary64) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (neg.f64 hi) (/.f64 lo hi)) (/.f64 #s(literal -1 binary64) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 lo (neg.f64 hi))) (/.f64 (neg.f64 hi) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (/.f64 (/.f64 x hi) hi) lo (/.f64 (-.f64 x lo) hi))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 lo hi)))))) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) lo x) hi) (/.f64 lo hi))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo))))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 hi (-.f64 x lo))) lo (-.f64 x lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 hi) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) hi)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 lo (/.f64 (*.f64 (/.f64 (-.f64 x lo) hi) lo) hi) (fma.f64 (/.f64 (-.f64 x lo) hi) lo (-.f64 x lo))) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo)) (/.f64 hi lo) (-.f64 (/.f64 #s(literal 1 binary64) lo) (/.f64 (/.f64 x lo) lo))) hi (-.f64 #s(literal 1 binary64) (/.f64 x lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (pow.f64 (/.f64 lo hi) #s(literal -2 binary64)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 hi lo) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 hi lo) #s(literal -2 binary64))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 lo hi) #s(literal 2 binary64))))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (pow.f64 lo #s(literal -1 binary64)) hi #s(literal 1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 hi)) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) lo) hi) (pow.f64 lo #s(literal -1 binary64))))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) lo) (/.f64 #s(literal 1 binary64) (pow.f64 hi #s(literal -1 binary64)))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 (neg.f64 hi) #s(literal -1 binary64))) (/.f64 hi lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) (pow.f64 (neg.f64 hi) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (*.f64 (/.f64 #s(literal -1 binary64) lo) (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 hi #s(literal -1 binary64))))))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 (pow.f64 hi #s(literal -1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 (pow.f64 hi #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (fma.f64 (pow.f64 (/.f64 lo hi) #s(literal 3 binary64)) (-.f64 x lo) (fma.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 lo (/.f64 lo hi) lo) (-.f64 x lo))) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) #s(approx (/ (- hi x) lo) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) lo) (pow.f64 hi #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (neg.f64 x) lo) hi) hi))) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 lo hi) lo)) #s(literal -1 binary64)))))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) lo) (neg.f64 (pow.f64 hi #s(literal -1 binary64)))) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (fma.f64 (pow.f64 lo #s(literal -1 binary64)) (pow.f64 (pow.f64 hi #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 hi x) lo) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 hi) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) lo)) hi)))) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 (-.f64 (/.f64 hi lo) #s(literal -1 binary64)) (*.f64 (pow.f64 lo #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 hi x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64)))) (pow.f64 (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (- hi x) lo) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x hi)) lo) hi)) (-.f64 (/.f64 hi lo) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
4 calls:
| 20.0ms | hi |
| 19.0ms | x |
| 19.0ms | lo |
| 16.0ms | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.1% | 1 | lo |
| 19.1% | 1 | hi |
| 19.1% | 1 | x |
| 19.1% | 1 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal -1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 (/.f64 (-.f64 hi x) lo) #s(literal -1 binary64))) |
(/.f64 (-.f64 x lo) (-.f64 hi lo)) |
#s(approx (/ (- x lo) (- hi lo)) (fma.f64 #s(approx (- (/ hi lo) -1) #s(literal 1 binary64)) #s(approx (/ (- hi x) lo) (*.f64 #s(approx (- (/ 1 lo) (/ (/ x lo) hi)) (/.f64 #s(literal 1 binary64) lo)) hi)) #s(literal 1 binary64))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi #s(approx (- x lo) (neg.f64 lo))))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(literal 1 binary64) (/.f64 hi (-.f64 x lo)))) |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
4 calls:
| 3.0ms | x |
| 3.0ms | hi |
| 3.0ms | lo |
| 3.0ms | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.8% | 1 | lo |
| 18.8% | 1 | hi |
| 18.8% | 1 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 18.8% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(literal 1 binary64) (/.f64 x lo))) |
#s(approx (/ (- x lo) (- hi lo)) (-.f64 #s(approx (/ (- hi x) lo) (/.f64 hi lo)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
4 calls:
| 3.0ms | hi |
| 2.0ms | x |
| 2.0ms | lo |
| 2.0ms | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.8% | 1 | lo |
| 18.8% | 1 | x |
| 18.8% | 1 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 18.8% | 1 | hi |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
4 calls:
| 1.0ms | lo |
| 1.0ms | hi |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.6% | 1 | hi |
| 18.6% | 1 | x |
| 18.6% | 1 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 18.6% | 1 | lo |
Compiled 10 to 15 computations (-50% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 67 |
| 1 | 34 | 67 |
| 2 | 37 | 67 |
| 3 | 38 | 67 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 hi (/.f64 (/.f64 hi lo) lo)))) |
#s(approx (/ (- x lo) (- hi lo)) #s(approx (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (*.f64 (/.f64 (/.f64 hi lo) lo) hi))) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 (-.f64 x lo) hi)) |
#s(approx (/ (- x lo) (- hi lo)) (/.f64 #s(approx (- x lo) (neg.f64 lo)) hi)) |
#s(approx (/ (- x lo) (- hi lo)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 5962 |
| 1 | 1126 | 5469 |
| 2 | 3607 | 5047 |
| 0 | 8250 | 4913 |
| 0 | 190 | 833 |
| 1 | 575 | 775 |
| 2 | 1803 | 709 |
| 3 | 7842 | 707 |
| 0 | 8467 | 681 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 34 to 37 computations (-8.8% saved)
Compiled 60 to 46 computations (23.3% saved)
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