
Time bar (total: 5.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 889.0ms | 8 256× | 0 | valid |
ival-mult: 334.0ms (63.4% of total)ival-sub: 128.0ms (24.3% of total)ival-div: 50.0ms (9.5% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 73 | 0 | - | 2 | (1.7170431359274603e-48 -1.6034825744091062e-276) | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/u | 39 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 39 | |
/.f64 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/o | 32 | 0 |
| ↳ | (*.f64 x #s(literal 2 binary64)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 2 |
| - | 0 | 183 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 2 |
| - | 0 | 0 | 183 |
| number | freq |
|---|---|
| 0 | 185 |
| 1 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 61 to 25 computations (59% saved)
ival-mult: 9.0ms (57.5% of total)ival-sub: 3.0ms (19.2% of total)ival-div: 3.0ms (19.2% of total)ival-true: 1.0ms (6.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 3 850× | lower-fma.f64 |
| 3 850× | lower-fma.f32 |
| 1 876× | lower-*.f32 |
| 1 874× | lower-*.f64 |
| 1 308× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 71 | 45 |
| 2 | 303 | 35 |
| 3 | 1658 | 35 |
| 4 | 3588 | 35 |
| 5 | 5120 | 35 |
| 6 | 5897 | 35 |
| 7 | 6043 | 35 |
| 8 | 6091 | 35 |
| 9 | 6178 | 35 |
| 10 | 6178 | 35 |
| 11 | 6640 | 35 |
| 12 | 7256 | 35 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 22 | 9 |
| 2 | 56 | 7 |
| 3 | 133 | 7 |
| 4 | 309 | 7 |
| 5 | 630 | 7 |
| 6 | 1135 | 7 |
| 7 | 4009 | 7 |
| 8 | 7041 | 7 |
| 0 | 8094 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
Compiled 11 to 7 computations (36.4% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.5% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 3 850× | lower-fma.f64 |
| 3 850× | lower-fma.f32 |
| 1 876× | lower-*.f32 |
| 1 874× | lower-*.f64 |
| 986× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 22 | 23 |
| 2 | 56 | 21 |
| 3 | 133 | 21 |
| 4 | 309 | 21 |
| 5 | 630 | 21 |
| 6 | 1135 | 21 |
| 7 | 4009 | 21 |
| 8 | 7041 | 21 |
| 0 | 8094 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(-.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(-.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 16.976240292117133 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 14.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 3.0ms (46% of total)ival-div: 2.0ms (30.7% of total)ival-sub: 1.0ms (15.3% 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 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x 2) |
| 1.0ms | y | @ | inf | (/ (- x y) (* (* x 2) y)) |
| 1.0ms | x | @ | inf | (/ (- x y) (* (* x 2) y)) |
| 1.0ms | x | @ | 0 | (/ (- x y) (* (* x 2) y)) |
| 1.0ms | y | @ | 0 | (/ (- x y) (* (* x 2) y)) |
| 1× | egg-herbie |
| 8 434× | lower-fma.f64 |
| 8 434× | lower-fma.f32 |
| 1 308× | lower-*.f64 |
| 1 308× | lower-*.f32 |
| 1 241× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 399 |
| 1 | 106 | 399 |
| 2 | 239 | 399 |
| 3 | 553 | 369 |
| 4 | 1457 | 369 |
| 5 | 2639 | 369 |
| 6 | 4362 | 369 |
| 7 | 5570 | 369 |
| 8 | 6051 | 369 |
| 9 | 6296 | 369 |
| 10 | 6416 | 369 |
| 11 | 7573 | 369 |
| 0 | 8021 | 366 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
| 2 844× | lower-/.f32 |
| 2 843× | lower-/.f64 |
| 2 199× | lower-*.f32 |
| 2 197× | lower-*.f64 |
| 1 233× | lower-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 43 | 20 |
| 2 | 301 | 18 |
| 3 | 4219 | 18 |
| 0 | 10118 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(-.f64 x y) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 y x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) x (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) y)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) x))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (*.f64 (+.f64 y x) (*.f64 y y)) (*.f64 (+.f64 y x) (+.f64 y x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 y x))))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (*.f64 y y) (neg.f64 (neg.f64 (+.f64 y x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y (*.f64 x x))) (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 y x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y y) y) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (-.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 x y) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) y) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(*.f64 x (*.f64 #s(literal 2 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
Compiled 16 841 to 1 714 computations (89.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 5 | 704 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 699 | 6 | 705 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.2% | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | 73.5% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ▶ | 100.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 84.9% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) |
| ▶ | 51.1% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 49.7% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
Compiled 97 to 63 computations (35.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) y) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) | |
| cost-diff | 256 | (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 64 | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
| 3 518× | lower-fma.f32 |
| 3 517× | lower-fma.f64 |
| 1 810× | lower-*.f32 |
| 1 809× | lower-*.f64 |
| 787× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 114 |
| 0 | 34 | 111 |
| 1 | 61 | 111 |
| 2 | 127 | 105 |
| 3 | 274 | 104 |
| 4 | 661 | 104 |
| 5 | 1835 | 104 |
| 6 | 3879 | 104 |
| 7 | 5729 | 104 |
| 8 | 7204 | 104 |
| 0 | 8043 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
y |
x |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
y |
x |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 y x) y) | |
| accuracy | 6.906554833680244 | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 0 | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) | |
| accuracy | 9.678058481157045 | (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 31.26975178796245 | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 32.179457585714204 | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.01953125 | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
| 61.0ms | 256× | 0 | valid |
Compiled 101 to 23 computations (77.2% saved)
ival-div: 34.0ms (70.3% of total)ival-mult: 9.0ms (18.6% of total)ival-sub: 3.0ms (6.2% of total)ival-add: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (* -2 x) |
| 1.0ms | x | @ | inf | (/ (/ (- y x) y) (* -2 x)) |
| 1.0ms | y | @ | inf | (/ (/ (- y x) y) (* -2 x)) |
| 0.0ms | y | @ | 0 | (- (/ 1/2 y) (/ 1/2 x)) |
| 0.0ms | y | @ | inf | (/ (+ (* (/ -1/2 x) y) 1/2) y) |
| 1× | egg-herbie |
| 16 616× | lower-fma.f64 |
| 16 616× | lower-fma.f32 |
| 1 964× | lower-+.f64 |
| 1 964× | lower-+.f32 |
| 1 644× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 1572 |
| 1 | 134 | 1572 |
| 2 | 344 | 1572 |
| 3 | 1033 | 1320 |
| 4 | 2008 | 1320 |
| 5 | 3383 | 1320 |
| 6 | 4745 | 1320 |
| 7 | 5369 | 1320 |
| 8 | 5607 | 1320 |
| 9 | 5783 | 1320 |
| 10 | 5821 | 1320 |
| 11 | 5899 | 1320 |
| 12 | 5953 | 1320 |
| 13 | 6339 | 1320 |
| 14 | 6658 | 1320 |
| 15 | 6666 | 1320 |
| 16 | 6670 | 1320 |
| 17 | 6670 | 1320 |
| 0 | 8500 | 1302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(* -1/2 (/ y x)) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
1/2 |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
1/2 |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
1/2 |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(* -1/2 (/ y x)) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* -1/2 (/ y x)) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(* -1 (/ x y)) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(* -1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) y) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(* -1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) y) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(* -1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) y) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (-.f64 y x)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
| 2 695× | lower-/.f32 |
| 2 689× | lower-/.f64 |
| 2 225× | lower-*.f32 |
| 2 224× | lower-*.f64 |
| 1 213× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 94 |
| 0 | 34 | 94 |
| 1 | 153 | 94 |
| 2 | 1312 | 88 |
| 0 | 8145 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
(*.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 x y) (neg.f64 (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x y) (neg.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x y))))) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 x y) (neg.f64 y))) |
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x y) y)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(/.f64 x #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) |
Compiled 15 775 to 1 987 computations (87.4% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 995 | 0 | 995 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 995 | 6 | 1 001 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.2% | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | 73.5% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ✓ | 100.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 84.9% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) |
| ✓ | 51.1% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 49.7% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
Compiled 98 to 55 computations (43.9% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) y)) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
3 calls:
| 39.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 5 | x |
| 87.0% | 5 | y |
| 88.1% | 5 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 5 | x |
| 74.6% | 3 | y |
| 60.9% | 4 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
3 calls:
| 1.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 49.7% | 1 | y |
| 49.7% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.802493789111975e+307 | +inf |
| 0.0ms | 0.0 | 4.53928138205769e-126 |
| 0.0ms | -6.39747055124108e-117 | 0.0 |
| 0.0ms | -inf | -2.8427391283429366e+301 |
Compiled 14 to 12 computations (14.3% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.5276103005899885e+33 | 4.829995532040607e+35 |
| 13.0ms | -1.4004338251803952e-120 | -4.7699957599022655e-135 |
| 53.0ms | -1.140918028068185e-68 | -3.4795222152241453e-81 |
| 8.0ms | -1.3100068262175933e+33 | -2.7185466958554064e+32 |
| 64.0ms | 528× | 0 | valid |
Compiled 476 to 342 computations (28.2% saved)
ival-mult: 7.0ms (51.2% of total)ival-sub: 3.0ms (21.9% of total)ival-div: 3.0ms (21.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 206 |
| 1 | 49 | 206 |
| 2 | 60 | 206 |
| 3 | 68 | 206 |
| 4 | 74 | 206 |
| 5 | 76 | 206 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -3549017208474643/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(if (<=.f64 x #s(literal -980000000000000027368231689781248 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -450559765389567/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal -8140593712110797/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 5999999999999999673451385922256896 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -3549017208474643/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal -3549017208474643/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(if (<=.f64 x #s(literal -980000000000000027368231689781248 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -450559765389567/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal -8140593712110797/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 5999999999999999673451385922256896 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
| 8 434× | lower-fma.f64 |
| 8 434× | lower-fma.f32 |
| 2 844× | lower-/.f32 |
| 2 843× | lower-/.f64 |
| 2 199× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 399 |
| 1 | 106 | 399 |
| 2 | 239 | 399 |
| 3 | 553 | 369 |
| 4 | 1457 | 369 |
| 5 | 2639 | 369 |
| 6 | 4362 | 369 |
| 7 | 5570 | 369 |
| 8 | 6051 | 369 |
| 9 | 6296 | 369 |
| 10 | 6416 | 369 |
| 11 | 7573 | 369 |
| 0 | 8021 | 366 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 43 | 20 |
| 2 | 301 | 18 |
| 3 | 4219 | 18 |
| 0 | 10118 | 18 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 170 to 68 computations (60% saved)
Compiled 294 to 100 computations (66% saved)
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