
Time bar (total: 11.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 6 |
| 18.8% | 18.7% | 81.1% | 0.2% | 0% | 0% | 0% | 7 |
| 28.1% | 28.1% | 71.7% | 0.2% | 0% | 0% | 0% | 8 |
| 42.2% | 42.1% | 57.7% | 0.2% | 0% | 0% | 0% | 9 |
| 42.2% | 42.1% | 57.7% | 0.2% | 0% | 0% | 0% | 10 |
| 49.2% | 49.1% | 50.7% | 0.2% | 0% | 0% | 0% | 11 |
| 57.4% | 57.3% | 42.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 495.0ms (54.1% of total)ival-div: 278.0ms (30.4% of total)ival-add: 75.0ms (8.2% of total)ival-sub: 46.0ms (5% of total)exact: 9.0ms (1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 1 | 0 | - | 0 | - | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 t z) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) t) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) | o/o | 25 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 2 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) | overflow | 34 | |
| ↳ | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) | overflow | 34 | |
| ↳ | (*.f64 t z) | overflow | 34 | |
+.f64 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) | nan-rescue | 1 | 0 |
| ↳ | (/.f64 x y) | overflow | 22 | |
| ↳ | (*.f64 t z) | overflow | 34 | |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 2 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) | overflow | 34 | |
| ↳ | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) | overflow | 25 | |
| ↳ | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) | overflow | 34 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 26 | 9 |
| - | 0 | 221 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 9 |
| - | 0 | 0 | 221 |
| number | freq |
|---|---|
| 0 | 230 |
| 1 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 48.0ms | 512× | 0 | valid |
Compiled 149 to 46 computations (69.1% saved)
ival-mult: 10.0ms (38.2% of total)ival-div: 7.0ms (26.8% of total)ival-add: 5.0ms (19.1% of total)ival-sub: 3.0ms (11.5% of total)ival-true: 1.0ms (3.8% of total)exact: 1.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8 598× | lower-fma.f64 |
| 8 598× | lower-fma.f32 |
| 3 816× | lower-*.f32 |
| 3 810× | lower-*.f64 |
| 2 736× | lower-/.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 254 |
| 1 | 180 | 244 |
| 2 | 430 | 238 |
| 3 | 1270 | 238 |
| 4 | 3939 | 238 |
| 5 | 7487 | 238 |
| 0 | 14 | 17 |
| 0 | 22 | 17 |
| 1 | 35 | 17 |
| 2 | 60 | 17 |
| 3 | 117 | 17 |
| 4 | 233 | 17 |
| 5 | 408 | 17 |
| 6 | 917 | 13 |
| 7 | 2686 | 13 |
| 8 | 5744 | 13 |
| 0 | 8285 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| Outputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) (-.f64 #s(literal 2 binary64) (/.f64 x y))) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.1% | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) | |
| cost-diff | 128 | (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) | |
| cost-diff | 128 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) |
| 8 598× | lower-fma.f64 |
| 8 598× | lower-fma.f32 |
| 3 816× | lower-*.f32 |
| 3 810× | lower-*.f64 |
| 2 736× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 35 | 64 |
| 2 | 60 | 64 |
| 3 | 117 | 64 |
| 4 | 233 | 64 |
| 5 | 408 | 64 |
| 6 | 917 | 56 |
| 7 | 2686 | 56 |
| 8 | 5744 | 56 |
| 0 | 8285 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
(/.f64 x y) |
x |
y |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) |
(*.f64 z #s(literal 2 binary64)) |
z |
(-.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(*.f64 t z) |
| Outputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) (-.f64 #s(literal 2 binary64) (/.f64 x y))) |
(/.f64 x y) |
x |
y |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) |
(*.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
z |
(-.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(*.f64 t z) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) | |
| accuracy | 0.19921875000000003 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) | |
| accuracy | 8.61281539340146 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 37.0ms | 256× | 0 | valid |
Compiled 66 to 16 computations (75.8% saved)
ival-div: 19.0ms (69.5% of total)ival-mult: 5.0ms (18.3% of total)ival-add: 2.0ms (7.3% of total)ival-sub: 1.0ms (3.7% 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 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) (patch (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 2 (* 2 z)) (taylor 0 t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ (* -2 (* t z)) (* 2 z))) (taylor 0 t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ (* -2 (* t z)) (* 2 z))) (taylor 0 t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ (* -2 (* t z)) (* 2 z))) (taylor 0 t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 t) (#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* t z)) (* 2 z)) (taylor 0 t) (#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* t z)) (* 2 z)) (taylor 0 t) (#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* t z)) (* 2 z)) (taylor 0 t) (#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 z)) (* t z)) (taylor 0 t) (#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) (patch (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) (patch (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) (patch (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) (patch (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* t z)) (taylor inf t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) (taylor inf t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) (taylor inf t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) (taylor inf t) (#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (patch (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* t z)) (taylor inf t) (#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -2 z) (* 2 (/ z t)))) (taylor inf t) (#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | z | @ | -inf | ((+ 2 (* (* z 2) (- 1 t))) (* (* z 2) (- 1 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (* t z)) |
| 2.0ms | z | @ | inf | ((+ 2 (* (* z 2) (- 1 t))) (* (* z 2) (- 1 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (* t z)) |
| 2.0ms | t | @ | 0 | ((+ 2 (* (* z 2) (- 1 t))) (* (* z 2) (- 1 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (* t z)) |
| 2.0ms | t | @ | inf | ((+ 2 (* (* z 2) (- 1 t))) (* (* z 2) (- 1 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (* t z)) |
| 2.0ms | z | @ | 0 | ((+ 2 (* (* z 2) (- 1 t))) (* (* z 2) (- 1 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (* t z)) |
| 1× | egg-herbie |
| 11 830× | lower-fma.f64 |
| 11 830× | lower-fma.f32 |
| 4 002× | lower-*.f64 |
| 4 002× | lower-*.f32 |
| 1 642× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 1454 |
| 1 | 287 | 1372 |
| 2 | 792 | 1352 |
| 3 | 1997 | 1292 |
| 4 | 5102 | 1250 |
| 0 | 8157 | 1178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 2 (* 2 z)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(* 2 z) |
(+ (* -2 (* t z)) (* 2 z)) |
(+ (* -2 (* t z)) (* 2 z)) |
(+ (* -2 (* t z)) (* 2 z)) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (* t z)) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* -2 (* t z)) |
(* t (+ (* -2 z) (* 2 (/ z t)))) |
(* t (+ (* -2 z) (* 2 (/ z t)))) |
(* t (+ (* -2 z) (* 2 (/ z t)))) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (* t z)) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -2 (* t z)) |
(* -1 (* t (+ (* -2 (/ z t)) (* 2 z)))) |
(* -1 (* t (+ (* -2 (/ z t)) (* 2 z)))) |
(* -1 (* t (+ (* -2 (/ z t)) (* 2 z)))) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
2 |
(+ 2 (* 2 (* z (- 1 t)))) |
(+ 2 (* 2 (* z (- 1 t)))) |
(+ 2 (* 2 (* z (- 1 t)))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (* z (- 1 t))) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 (/ (- 1 t) t)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (* z (- 1 t))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(* 2 (* z (- 1 t))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 (/ (- 1 t) t)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(+ 2 (* 2 z)) |
(fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(+ (* -2 (* t z)) (* 2 z)) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(+ (* -2 (* t z)) (* 2 z)) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(+ (* -2 (* t z)) (* 2 z)) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(-.f64 (/.f64 (fma.f64 (/.f64 x y) t (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64))) t) #s(literal 2 binary64)) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(-.f64 (/.f64 (fma.f64 (/.f64 x y) t (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64))) t) #s(literal 2 binary64)) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(-.f64 (/.f64 (fma.f64 (/.f64 x y) t (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64))) t) #s(literal 2 binary64)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (* t z)) |
(*.f64 (*.f64 t z) #s(literal -2 binary64)) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* -2 (* t z)) |
(*.f64 (*.f64 t z) #s(literal -2 binary64)) |
(* t (+ (* -2 z) (* 2 (/ z t)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* t (+ (* -2 z) (* 2 (/ z t)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* t (+ (* -2 z) (* 2 (/ z t)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(- (/ x y) 2) |
(-.f64 (/.f64 x y) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
-2 |
#s(literal -2 binary64) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (* t z)) |
(*.f64 (*.f64 t z) #s(literal -2 binary64)) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* -2 (* t z)) |
(*.f64 (*.f64 t z) #s(literal -2 binary64)) |
(* -1 (* t (+ (* -2 (/ z t)) (* 2 z)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* -1 (* t (+ (* -2 (/ z t)) (* 2 z)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* -1 (* t (+ (* -2 (/ z t)) (* 2 z)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(- (/ x y) 2) |
(-.f64 (/.f64 x y) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
-2 |
#s(literal -2 binary64) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (* z (- 1 t)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(+ 2 (* 2 (* z (- 1 t)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(+ 2 (* 2 (* z (- 1 t)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/.f64 (fma.f64 z (-.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t)) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/.f64 (fma.f64 z (-.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t)) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/.f64 (fma.f64 z (-.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t)) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) t))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(* 2 (/ (- 1 t) t)) |
(-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(fma.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(* 2 (* z (- 1 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) z) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) t))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(* 2 (/ (- 1 t) t)) |
(-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) y x) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) y x) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) y x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 9 104× | lower-fma.f64 |
| 9 104× | lower-fma.f32 |
| 6 108× | lower-*.f32 |
| 6 102× | lower-*.f64 |
| 3 482× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 0 | 22 | 52 |
| 1 | 93 | 52 |
| 2 | 929 | 52 |
| 0 | 8556 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t)) |
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
(/.f64 x y) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
(*.f64 t z) |
| Outputs |
|---|
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Compiled 13 768 to 1 379 computations (90% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 14 | 590 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 577 | 14 | 591 |
| Status | Accuracy | Program |
|---|---|---|
| 74.7% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) t) (/.f64 x y)) | |
| 58.2% | (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) | |
| ▶ | 62.9% | (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) |
| 41.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 t z) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) (*.f64 t z)) (/.f64 x y))) | |
| 74.4% | (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) | |
| 81.7% | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) | |
| ▶ | 59.7% | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
| ▶ | 82.2% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
| 72.4% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) | |
| 50.8% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) | |
| 29.0% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) | |
| ▶ | 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
| ▶ | 34.0% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
| 67.9% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
Compiled 368 to 312 computations (15.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x t) | |
| cost-diff | 0 | (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
| 11 028× | lower-fma.f32 |
| 11 022× | lower-fma.f64 |
| 2 902× | lower-*.f32 |
| 2 894× | lower-*.f64 |
| 1 436× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 267 |
| 0 | 52 | 267 |
| 1 | 94 | 267 |
| 2 | 169 | 253 |
| 3 | 307 | 253 |
| 4 | 711 | 253 |
| 5 | 1425 | 253 |
| 6 | 2656 | 245 |
| 7 | 5834 | 245 |
| 0 | 8293 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
t |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
t |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
(/.f64 x y) |
x |
y |
(/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) |
#s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 t z) |
t |
z |
(/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) |
(fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) |
(*.f64 x t) |
x |
t |
z |
(*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) |
y |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 t z) y) |
(*.f64 t z) |
| Outputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
t |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
t |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
(+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) |
(/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) |
#s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 t z) |
t |
z |
(/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) |
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) y (*.f64 (*.f64 t x) z)) z) y) t) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) y x) z) t (*.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 x t) |
(*.f64 t x) |
x |
t |
z |
(*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y) |
y |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 t z) y) |
(*.f64 t z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6680852162473554 | (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) | |
| accuracy | 3.758638023147258 | (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) | |
| accuracy | 3.8576752201838884 | (*.f64 (*.f64 t z) y) | |
| accuracy | 20.105390452694735 | (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.19921875000000003 | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) | |
| accuracy | 8.61281539340146 | (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) | |
| accuracy | 40.98101119484188 | #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) z) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) | |
| accuracy | 0.125 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) | |
| accuracy | 31.02389686026266 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 42.225089657225965 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) | |
| accuracy | 0.125 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) | |
| accuracy | 0.19921875000000003 | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) | |
| accuracy | 21.729765054745457 | #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
| 75.0ms | 256× | 0 | valid |
Compiled 246 to 30 computations (87.8% saved)
ival-div: 30.0ms (53.5% of total)ival-mult: 17.0ms (30.3% of total)ival-add: 6.0ms (10.7% of total)ival-sub: 2.0ms (3.6% 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) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) (patch (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (patch #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) (patch (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) (patch (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) (patch (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 t z) y) (patch (*.f64 (*.f64 t z) y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (patch (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* t (* x z)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) (patch (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) (patch (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) (patch (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) (patch (/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (- (/ 2 z) -2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ 2 z) -2) (/ 2 z) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ 2 (* (* z 2) (- 1 t))) (* t z) (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* x t) (* y (+ (* (+ (* -2 t) 2) z) 2)) (+ (* (+ (* -2 t) 2) z) 2) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (* (* t z) y)) |
| 17.0ms | t | @ | -inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (- (/ 2 z) -2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ 2 z) -2) (/ 2 z) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ 2 (* (* z 2) (- 1 t))) (* t z) (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* x t) (* y (+ (* (+ (* -2 t) 2) z) 2)) (+ (* (+ (* -2 t) 2) z) 2) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (* (* t z) y)) |
| 6.0ms | t | @ | 0 | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (- (/ 2 z) -2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ 2 z) -2) (/ 2 z) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ 2 (* (* z 2) (- 1 t))) (* t z) (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* x t) (* y (+ (* (+ (* -2 t) 2) z) 2)) (+ (* (+ (* -2 t) 2) z) 2) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (* (* t z) y)) |
| 4.0ms | z | @ | -inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (- (/ 2 z) -2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ 2 z) -2) (/ 2 z) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ 2 (* (* z 2) (- 1 t))) (* t z) (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* x t) (* y (+ (* (+ (* -2 t) 2) z) 2)) (+ (* (+ (* -2 t) 2) z) 2) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (* (* t z) y)) |
| 3.0ms | t | @ | inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (- (/ 2 z) -2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ 2 z) -2) (/ 2 z) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (+ 2 (* (* z 2) (- 1 t))) (* t z) (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* x t) (* y (+ (* (+ (* -2 t) 2) z) 2)) (+ (* (+ (* -2 t) 2) z) 2) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (* (* t z) y)) |
| 1× | egg-herbie |
| 13 688× | lower-fma.f64 |
| 13 688× | lower-fma.f32 |
| 3 738× | lower-*.f64 |
| 3 738× | lower-*.f32 |
| 2 192× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 6401 |
| 1 | 697 | 6156 |
| 2 | 2208 | 5972 |
| 3 | 6003 | 5932 |
| 0 | 8224 | 5364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(+ 2 (* 2 z)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* y (+ 2 (* 2 z))) |
(+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) |
(+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) |
(+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) |
(* t x) |
(* t x) |
(* t x) |
(* t x) |
(* y (+ 2 (* 2 z))) |
(+ (* -2 (* t (* y z))) (* y (+ 2 (* 2 z)))) |
(+ (* -2 (* t (* y z))) (* y (+ 2 (* 2 z)))) |
(+ (* -2 (* t (* y z))) (* y (+ 2 (* 2 z)))) |
(+ 2 (* 2 z)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(* -2 (* t z)) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t (+ (* -2 (* y z)) (* x z))) |
(* t (+ (* -2 (* y z)) (+ (* x z) (/ (* y (+ 2 (* 2 z))) t)))) |
(* t (+ (* -2 (* y z)) (+ (* x z) (/ (* y (+ 2 (* 2 z))) t)))) |
(* t (+ (* -2 (* y z)) (+ (* x z) (/ (* y (+ 2 (* 2 z))) t)))) |
(* t x) |
(* t x) |
(* t x) |
(* t x) |
(* -2 (* t (* y z))) |
(* t (+ (* -2 (* y z)) (/ (* y (+ 2 (* 2 z))) t))) |
(* t (+ (* -2 (* y z)) (/ (* y (+ 2 (* 2 z))) t))) |
(* t (+ (* -2 (* y z)) (/ (* y (+ 2 (* 2 z))) t))) |
(* -2 (* t z)) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
(* t (+ (* -2 z) (+ (* 2 (/ z t)) (* 2 (/ 1 t))))) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ (* -2 (* y z)) (* x z)) (* y z)) |
(+ -2 (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y)))) |
(+ -2 (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y)))) |
(+ -2 (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y)))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(* -2 (* t z)) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t (+ (* -1 (* x z)) (* 2 (* y z))))) |
(* -1 (* t (+ (* -1 (* x z)) (+ (* -1 (/ (* y (+ 2 (* 2 z))) t)) (* 2 (* y z)))))) |
(* -1 (* t (+ (* -1 (* x z)) (+ (* -1 (/ (* y (+ 2 (* 2 z))) t)) (* 2 (* y z)))))) |
(* -1 (* t (+ (* -1 (* x z)) (+ (* -1 (/ (* y (+ 2 (* 2 z))) t)) (* 2 (* y z)))))) |
(* t x) |
(* t x) |
(* t x) |
(* t x) |
(* -2 (* t (* y z))) |
(* -1 (* t (+ (* -1 (/ (* y (+ 2 (* 2 z))) t)) (* 2 (* y z))))) |
(* -1 (* t (+ (* -1 (/ (* y (+ 2 (* 2 z))) t)) (* 2 (* y z))))) |
(* -1 (* t (+ (* -1 (/ (* y (+ 2 (* 2 z))) t)) (* 2 (* y z))))) |
(* -2 (* t z)) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
(* -1 (* t (+ (* -1 (/ (+ 2 (* 2 z)) t)) (* 2 z)))) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(* -1 (/ (+ (* -1 (* x z)) (* 2 (* y z))) (* y z))) |
(+ (* -1 (/ (+ (* -1 (* x z)) (* 2 (* y z))) (* y z))) (+ (* 2 (/ 1 t)) (/ 2 (* t z)))) |
(+ (* -1 (/ (+ (* -1 (* x z)) (* 2 (* y z))) (* y z))) (+ (* 2 (/ 1 t)) (/ 2 (* t z)))) |
(+ (* -1 (/ (+ (* -1 (* x z)) (* 2 (* y z))) (* y z))) (+ (* 2 (/ 1 t)) (/ 2 (* t z)))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ 2 z) |
(/ (+ 2 (* 2 z)) z) |
(/ (+ 2 (* 2 z)) z) |
(/ (+ 2 (* 2 z)) z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
2 |
(+ 2 (* 2 (* z (- 1 t)))) |
(+ 2 (* 2 (* z (- 1 t)))) |
(+ 2 (* 2 (* z (- 1 t)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 y) |
(+ (* 2 y) (* z (+ (* t x) (* y (+ 2 (* -2 t)))))) |
(+ (* 2 y) (* z (+ (* t x) (* y (+ 2 (* -2 t)))))) |
(+ (* 2 y) (* z (+ (* t x) (* y (+ 2 (* -2 t)))))) |
(* 2 y) |
(+ (* 2 y) (* y (* z (+ 2 (* -2 t))))) |
(+ (* 2 y) (* y (* z (+ 2 (* -2 t))))) |
(+ (* 2 y) (* y (* z (+ 2 (* -2 t))))) |
2 |
(+ 2 (* z (+ 2 (* -2 t)))) |
(+ 2 (* z (+ 2 (* -2 t)))) |
(+ 2 (* z (+ 2 (* -2 t)))) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 (/ (- 1 t) t)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 (* z (- 1 t))) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(* z (+ (* 2 (- 1 t)) (* 2 (/ 1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* z (+ (* t x) (* y (+ 2 (* -2 t))))) |
(* z (+ (* 2 (/ y z)) (+ (* t x) (* y (+ 2 (* -2 t)))))) |
(* z (+ (* 2 (/ y z)) (+ (* t x) (* y (+ 2 (* -2 t)))))) |
(* z (+ (* 2 (/ y z)) (+ (* t x) (* y (+ 2 (* -2 t)))))) |
(* y (* z (+ 2 (* -2 t)))) |
(* z (+ (* 2 (/ y z)) (* y (+ 2 (* -2 t))))) |
(* z (+ (* 2 (/ y z)) (* y (+ 2 (* -2 t))))) |
(* z (+ (* 2 (/ y z)) (* y (+ 2 (* -2 t))))) |
(* z (+ 2 (* -2 t))) |
(* z (+ 2 (+ (* -2 t) (* 2 (/ 1 z))))) |
(* z (+ 2 (+ (* -2 t) (* 2 (/ 1 z))))) |
(* z (+ 2 (+ (* -2 t) (* 2 (/ 1 z))))) |
(* 2 (/ (- 1 t) t)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(/ (+ (* t x) (* y (+ 2 (* -2 t)))) (* t y)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 (/ (- 1 t) t)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 (* z (- 1 t))) |
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(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t))))))) |
(* -1 (* z (+ (* -2 (/ y z)) (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t)))))))) |
(* -1 (* z (+ (* -2 (/ y z)) (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t)))))))) |
(* -1 (* z (+ (* -2 (/ y z)) (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t)))))))) |
(* y (* z (+ 2 (* -2 t)))) |
(* -1 (* z (+ (* -2 (/ y z)) (* -1 (* y (+ 2 (* -2 t))))))) |
(* -1 (* z (+ (* -2 (/ y z)) (* -1 (* y (+ 2 (* -2 t))))))) |
(* -1 (* z (+ (* -2 (/ y z)) (* -1 (* y (+ 2 (* -2 t))))))) |
(* z (+ 2 (* -2 t))) |
(* -1 (* z (- (* -1 (+ 2 (* -2 t))) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -1 (+ 2 (* -2 t))) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -1 (+ 2 (* -2 t))) (* 2 (/ 1 z))))) |
(* 2 (/ (- 1 t) t)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(* -1 (/ (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t))))) (* t y))) |
(+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t))))) (* t y))) (* 2 (/ 1 (* t z)))) |
(+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t))))) (* t y))) (* 2 (/ 1 (* t z)))) |
(+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (* y (+ 2 (* -2 t))))) (* t y))) (* 2 (/ 1 (* t z)))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(* t (* x z)) |
(+ (* t (* x z)) (* y (+ 2 (* z (+ 2 (* -2 t)))))) |
(+ (* t (* x z)) (* y (+ 2 (* z (+ 2 (* -2 t)))))) |
(+ (* t (* x z)) (* y (+ 2 (* z (+ 2 (* -2 t)))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(/ x y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (+ (* z (+ 2 (* -2 t))) (/ (* t (* x z)) y)))) |
(* y (+ 2 (+ (* z (+ 2 (* -2 t))) (/ (* t (* x z)) y)))) |
(* y (+ 2 (+ (* z (+ 2 (* -2 t))) (/ (* t (* x z)) y)))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(/ (+ 2 (* z (+ 2 (* -2 t)))) (* t z)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* -1 (* y (+ (* -1 (+ 2 (* z (+ 2 (* -2 t))))) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 (+ 2 (* z (+ 2 (* -2 t))))) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 (+ 2 (* z (+ 2 (* -2 t))))) (* -1 (/ (* t (* x z)) y))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(/ (+ 2 (* z (+ 2 (* -2 t)))) (* t z)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(* y (+ 2 (* z (+ 2 (* -2 t))))) |
(+ (* t (* x z)) (* y (+ 2 (* z (+ 2 (* -2 t)))))) |
(+ (* t (* x z)) (* y (+ 2 (* z (+ 2 (* -2 t)))))) |
(+ (* t (* x z)) (* y (+ 2 (* z (+ 2 (* -2 t)))))) |
(* t x) |
(* t x) |
(* t x) |
(* t x) |
(/ (+ 2 (* z (+ 2 (* -2 t)))) (* t z)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* t (* x z)) |
(* x (+ (* t z) (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))) |
(* x (+ (* t z) (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))) |
(* x (+ (* t z) (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))) |
(* t x) |
(* t x) |
(* t x) |
(* t x) |
(/ x y) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* t (* x z)) |
(* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) |
(* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) |
(* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) |
(* t x) |
(* t x) |
(* t x) |
(* t x) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
| Outputs |
|---|
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) z) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
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(/.f64 x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x #s(literal -2 binary64)) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x #s(literal -2 binary64)) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x #s(literal -2 binary64)) |
(* t (* x z)) |
(*.f64 (*.f64 x t) z) |
(* x (+ (* t z) (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y (*.f64 (*.f64 x t) z)) |
(* x (+ (* t z) (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y (*.f64 (*.f64 x t) z)) |
(* x (+ (* t z) (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y (*.f64 (*.f64 x t) z)) |
(* t x) |
(*.f64 x t) |
(* t x) |
(*.f64 x t) |
(* t x) |
(*.f64 x t) |
(* t x) |
(*.f64 x t) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x #s(literal -2 binary64)) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x #s(literal -2 binary64)) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x #s(literal -2 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* t (* x z)) |
(*.f64 (*.f64 x t) z) |
(* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y (*.f64 (*.f64 x t) z)) |
(* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y (*.f64 (*.f64 x t) z)) |
(* -1 (* x (+ (* -1 (* t z)) (* -1 (/ (* y (+ 2 (* z (+ 2 (* -2 t))))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) y (*.f64 (*.f64 x t) z)) |
(* t x) |
(*.f64 x t) |
(* t x) |
(*.f64 x t) |
(* t x) |
(*.f64 x t) |
(* t x) |
(*.f64 x t) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
| 5 080× | lower-/.f32 |
| 5 070× | lower-/.f64 |
| 5 036× | lower-fma.f32 |
| 5 030× | lower-fma.f64 |
| 4 342× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 216 |
| 0 | 52 | 216 |
| 1 | 247 | 216 |
| 2 | 2347 | 216 |
| 0 | 8782 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/.f64 x y) |
#s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) |
(*.f64 t z) |
(fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) |
(*.f64 x t) |
(*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) |
(/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) |
(*.f64 (*.f64 t z) y) |
| Outputs |
|---|
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Compiled 25 002 to 1 979 computations (92.1% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 322 | 13 | 1 335 |
| Fresh | 6 | 3 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 330 | 19 | 1 349 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.1% | (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
| 44.7% | (/.f64 (/.f64 (fma.f64 (*.f64 t x) z (*.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) y)) (*.f64 t z)) y) | |
| 27.7% | (/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) | |
| 59.7% | (+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) | |
| ▶ | 74.4% | (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
| ✓ | 59.7% | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
| 55.7% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) | |
| 50.8% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) | |
| 50.5% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) | |
| ▶ | 29.0% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
| 67.9% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) | |
| 43.6% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 t (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) z))))) | |
| ✓ | 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
| 29.0% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) | |
| ▶ | 24.3% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
| ✓ | 34.0% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
| 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) | |
| 67.9% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) | |
| ▶ | 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
Compiled 342 to 360 computations (-5.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) t) | |
| cost-diff | 0 | #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) t) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) | |
| cost-diff | 0 | #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) | |
| cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) |
| 11 794× | lower-fma.f32 |
| 11 788× | lower-fma.f64 |
| 3 232× | lower-*.f32 |
| 3 226× | lower-*.f64 |
| 1 462× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 289 |
| 0 | 72 | 289 |
| 1 | 133 | 283 |
| 2 | 233 | 271 |
| 3 | 386 | 271 |
| 4 | 801 | 271 |
| 5 | 1609 | 271 |
| 6 | 3047 | 263 |
| 7 | 6835 | 263 |
| 0 | 8380 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
(/.f64 x y) |
x |
y |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) |
#s(literal -2 binary64) |
t |
#s(literal 2 binary64) |
z |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
(/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) |
#s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
(fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) |
(/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) |
#s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
y |
(*.f64 z x) |
z |
x |
(*.f64 z y) |
| Outputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) (-.f64 #s(literal 2 binary64) (/.f64 x y))) |
(/.f64 x y) |
x |
y |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(/.f64 (fma.f64 z (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) t) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(fma.f64 z (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) |
#s(literal -2 binary64) |
t |
#s(literal 2 binary64) |
z |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
(/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) |
#s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 (/.f64 #s(literal 2 binary64) z) t) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
#s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) |
#s(approx (/ (- (/ 2 z) -2) t) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(/.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) y) z) |
(fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) |
(/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) |
#s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
y |
(*.f64 z x) |
z |
x |
(*.f64 z y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1633061299153953 | (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) | |
| accuracy | 7.55301013472442 | (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) | |
| accuracy | 19.597146923549424 | (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) | |
| accuracy | 40.98101119484188 | #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) | |
| accuracy | 0 | #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) | |
| accuracy | 31.02389686026266 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) t) | |
| accuracy | 0.21875 | (/.f64 (/.f64 #s(literal 2 binary64) t) z) | |
| accuracy | 45.408226651479865 | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) | |
| accuracy | 0.125 | (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) | |
| accuracy | 29.073421284902825 | #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) | |
| accuracy | 31.02389686026266 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.19921875000000003 | (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) | |
| accuracy | 7.55301013472442 | (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) | |
| accuracy | 8.818361835123788 | (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) |
| 93.0ms | 256× | 0 | valid |
Compiled 248 to 44 computations (82.3% saved)
ival-mult: 35.0ms (52.8% of total)ival-div: 19.0ms (28.7% of total)ival-add: 10.0ms (15.1% of total)ival-sub: 2.0ms (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 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) (patch (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) (patch #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) (patch #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (patch (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (patch (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) (patch (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ 2 (* 2 z)) (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) (patch (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) (patch (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) (patch (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) (patch (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 z)) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 z)) (* t z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) (taylor 0 t) (#s(alt #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) (taylor 0 t) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) (patch #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) (patch #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) (patch #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 z))) t) (taylor 0 t) (#s(alt #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) (patch #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 2 (* 2 z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (patch (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (patch (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (patch (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (patch (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 z)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) (patch (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 z)) (taylor 0 t) (#s(alt #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ (* -2 (* t z)) (* 2 z))) (taylor 0 t) (#s(alt #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ (* -2 (* t z)) (* 2 z))) (taylor 0 t) (#s(alt #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ (* -2 (* t z)) (* 2 z))) (taylor 0 t) (#s(alt #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 z)) (* t z)) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) (patch (/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 6.0ms | t | @ | 0 | ((/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (+ (* (+ (* -2 t) 2) z) 2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/ (/ 2 t) z) (/ 2 t) (* (/ 1 t) (+ (/ 2 z) 2)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (/ 1 t) (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (/ (+ 2 (* (* z 2) (- 1 t))) t) (+ 2 (* (* z 2) (- 1 t))) (* z x) (+ (/ 2 z) 2) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y))) |
| 5.0ms | z | @ | -inf | ((/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (+ (* (+ (* -2 t) 2) z) 2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/ (/ 2 t) z) (/ 2 t) (* (/ 1 t) (+ (/ 2 z) 2)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (/ 1 t) (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (/ (+ 2 (* (* z 2) (- 1 t))) t) (+ 2 (* (* z 2) (- 1 t))) (* z x) (+ (/ 2 z) 2) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y))) |
| 4.0ms | t | @ | -inf | ((/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (+ (* (+ (* -2 t) 2) z) 2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/ (/ 2 t) z) (/ 2 t) (* (/ 1 t) (+ (/ 2 z) 2)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (/ 1 t) (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (/ (+ 2 (* (* z 2) (- 1 t))) t) (+ 2 (* (* z 2) (- 1 t))) (* z x) (+ (/ 2 z) 2) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y))) |
| 4.0ms | z | @ | inf | ((/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (+ (* (+ (* -2 t) 2) z) 2) t) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/ (/ 2 t) z) (/ 2 t) (* (/ 1 t) (+ (/ 2 z) 2)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (- (/ 2 z) -2) t) (/ 1 t) (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (/ (+ 2 (* (* z 2) (- 1 t))) t) (+ 2 (* (* z 2) (- 1 t))) (* z x) (+ (/ 2 z) 2) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y))) |
| 1× | egg-herbie |
| 10 610× | lower-fma.f64 |
| 10 610× | lower-fma.f32 |
| 4 120× | lower-*.f64 |
| 4 120× | lower-*.f32 |
| 1 698× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 6191 |
| 1 | 710 | 6086 |
| 2 | 2111 | 5974 |
| 3 | 5867 | 5930 |
| 0 | 8287 | 5397 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* -1 (* z (- (* -2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) |
(* -1 (* z (- (* -2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) |
(* 2 (* z (- 1 t))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* -2 (- 1 t)) (* 2 (/ 1 z))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) |
(+ (* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) (* 2 (/ 1 (* t z)))) |
(+ (* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) (* 2 (/ 1 (* t z)))) |
(+ (* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) (* 2 (/ 1 (* t z)))) |
(/ x y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(* x z) |
(+ (* x z) (* y (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))))) |
(+ (* x z) (* y (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))))) |
(+ (* x z) (* y (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))))) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ (+ 2 (* z (+ 2 (* -2 t)))) (* t z)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(* y (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t)))) |
(* y (+ (* 2 (/ 1 t)) (+ (* 2 (/ (* z (- 1 t)) t)) (/ (* x z) y)))) |
(* y (+ (* 2 (/ 1 t)) (+ (* 2 (/ (* z (- 1 t)) t)) (/ (* x z) y)))) |
(* y (+ (* 2 (/ 1 t)) (+ (* 2 (/ (* z (- 1 t)) t)) (/ (* x z) y)))) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(+ (* 2 (/ (- 1 t) t)) (+ (/ 2 (* t z)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (/ 2 (* t z)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (/ 2 (* t z)) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ (+ 2 (* z (+ 2 (* -2 t)))) (* t z)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ (* y (+ 2 (* 2 (* z (- 1 t))))) t) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ 2 (* 2 (* z (- 1 t)))) t))))) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ 2 (* 2 (* z (- 1 t)))) t))))) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ 2 (* 2 (* z (- 1 t)))) t))))) |
(/ (+ 2 (* 2 (* z (- 1 t)))) (* t z)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ (+ 2 (* z (+ 2 (* -2 t)))) (* t z)) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ 1 (* t z))) (+ (/ x y) (/ (+ 2 (* -2 t)) t))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ (* y (+ 2 (* 2 (* z (- 1 t))))) t) |
(+ (* x z) (/ (* y (+ 2 (* 2 (* z (- 1 t))))) t)) |
(+ (* x z) (/ (* y (+ 2 (* 2 (* z (- 1 t))))) t)) |
(+ (* x z) (/ (* y (+ 2 (* 2 (* z (- 1 t))))) t)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (+ 2 (* 2 (* z (- 1 t)))) (* t z)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(/ x y) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x z) |
(* x (+ z (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))) |
(* x (+ z (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))) |
(* x (+ z (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
| Outputs |
|---|
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 z)) t) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ (* y (+ 2 (* 2 z))) t) |
(*.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 y t)) |
(/ (+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) t) |
(/.f64 (fma.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) y (*.f64 (*.f64 (fma.f64 y #s(literal -2 binary64) x) z) t)) t) |
(/ (+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) t) |
(/.f64 (fma.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) y (*.f64 (*.f64 (fma.f64 y #s(literal -2 binary64) x) z) t)) t) |
(/ (+ (* t (+ (* -2 (* y z)) (* x z))) (* y (+ 2 (* 2 z)))) t) |
(/.f64 (fma.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) y (*.f64 (*.f64 (fma.f64 y #s(literal -2 binary64) x) z) t)) t) |
(/ (+ 2 (* 2 z)) t) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 (* t z)) (* 2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
(+ 2 (* 2 z)) |
(fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (* t z)) (* 2 z))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
-2 |
#s(literal -2 binary64) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) |
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(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))))) |
(fma.f64 (fma.f64 y #s(literal -2 binary64) x) z (*.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 y t))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))))) |
(fma.f64 (fma.f64 y #s(literal -2 binary64) x) z (*.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 y t))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (+ 2 (* 2 (* z (- 1 t))))) (* t x)))))) |
(fma.f64 (fma.f64 y #s(literal -2 binary64) x) z (*.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 y t))) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) x) x (/.f64 x y)) |
| 5 922× | lower-/.f32 |
| 5 902× | lower-/.f64 |
| 4 274× | lower-*.f32 |
| 4 268× | lower-*.f64 |
| 3 290× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 252 |
| 0 | 72 | 246 |
| 1 | 331 | 240 |
| 2 | 3007 | 240 |
| 0 | 8809 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
(/.f64 x y) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
(/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t) |
#s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) t) |
(fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) |
(/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) |
#s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) |
(*.f64 z x) |
(+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
| Outputs |
|---|
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Compiled 24 240 to 2 713 computations (88.8% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 336 | 7 | 1 343 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 343 | 19 | 1 362 |
| Status | Accuracy | Program |
|---|---|---|
| 44.7% | (/.f64 (/.f64 (fma.f64 (*.f64 t x) z (*.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) y)) (*.f64 t z)) y) | |
| 25.4% | (/.f64 #s(approx (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (*.f64 (/.f64 y t) #s(literal 2 binary64))) (*.f64 z y)) | |
| 27.7% | (/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) | |
| 59.7% | (+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) | |
| ✓ | 59.7% | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
| ▶ | 50.8% | (+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
| 55.7% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) | |
| ▶ | 51.3% | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
| 50.1% | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) | |
| 29.0% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) | |
| ✓ | 29.0% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
| 29.0% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) | |
| ▶ | 67.9% | #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
| 43.6% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 t (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) z))))) | |
| ✓ | 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
| ✓ | 24.3% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
| ✓ | 34.0% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
| ▶ | 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
| ▶ | 67.9% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
Compiled 311 to 332 computations (-6.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) z) t) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) | |
| cost-diff | 704 | (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) t) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) | |
| cost-diff | -192 | (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
| 9 798× | lower-fma.f32 |
| 9 794× | lower-fma.f64 |
| 3 520× | lower-*.f32 |
| 3 518× | lower-*.f64 |
| 1 876× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 248 |
| 0 | 65 | 241 |
| 1 | 118 | 241 |
| 2 | 214 | 241 |
| 3 | 379 | 241 |
| 4 | 791 | 241 |
| 5 | 2011 | 241 |
| 6 | 5023 | 219 |
| 0 | 8317 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
t |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
(/.f64 x y) |
x |
y |
#s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) |
(fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(*.f64 t z) |
t |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) t) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
t |
(/.f64 #s(literal -2 binary64) t) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
t |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
(+.f64 #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(*.f64 t z) |
t |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal -2 binary64) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(/.f64 (/.f64 #s(literal 2 binary64) z) t) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
t |
(/.f64 #s(literal -2 binary64) t) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -2 binary64) t) | |
| accuracy | 0.0234375 | (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) | |
| accuracy | 0.22265625 | (/.f64 (/.f64 #s(literal 2 binary64) z) t) | |
| accuracy | 31.02389686026266 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) t) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) | |
| accuracy | 0.14453125 | (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) | |
| accuracy | 20.455091713547326 | #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) | |
| accuracy | 0 | (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 8.138871887024353 | (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) | |
| accuracy | 31.02389686026266 | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.19921875000000003 | (+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) | |
| accuracy | 41.74323340833015 | #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) | |
| accuracy | 0 | (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) | |
| accuracy | 0.125 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) | |
| accuracy | 20.455091713547326 | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
| 158.0ms | 256× | 0 | valid |
Compiled 209 to 43 computations (79.4% saved)
ival-mult: 67.0ms (47.6% of total)ival-add: 50.0ms (35.6% of total)ival-div: 19.0ms (13.5% of total)ival-sub: 4.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) (patch (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) (patch (+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) (patch #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) (patch #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) (patch (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) (patch #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (patch (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) (patch (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) t) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) t) (patch (/.f64 #s(literal -2 binary64) t) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) (patch #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) (patch #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) (patch #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | t | @ | 0 | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ (- (/ 2 z) -2) t) 2) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (+ (* z 2) 2) (* t z) (/ (+ (* z 2) 2) (* t z)) (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ 1 t) (+ (/ 2 z) 2) (- (/ (/ 2 z) t) (/ -2 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (/ 2 z) t) (/ 2 z) (/ -2 t)) |
| 16.0ms | t | @ | inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ (- (/ 2 z) -2) t) 2) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (+ (* z 2) 2) (* t z) (/ (+ (* z 2) 2) (* t z)) (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ 1 t) (+ (/ 2 z) 2) (- (/ (/ 2 z) t) (/ -2 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (/ 2 z) t) (/ 2 z) (/ -2 t)) |
| 4.0ms | t | @ | -inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ (- (/ 2 z) -2) t) 2) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (+ (* z 2) 2) (* t z) (/ (+ (* z 2) 2) (* t z)) (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ 1 t) (+ (/ 2 z) 2) (- (/ (/ 2 z) t) (/ -2 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (/ 2 z) t) (/ 2 z) (/ -2 t)) |
| 4.0ms | z | @ | -inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ (- (/ 2 z) -2) t) 2) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (+ (* z 2) 2) (* t z) (/ (+ (* z 2) 2) (* t z)) (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ 1 t) (+ (/ 2 z) 2) (- (/ (/ 2 z) t) (/ -2 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (/ 2 z) t) (/ 2 z) (/ -2 t)) |
| 3.0ms | z | @ | inf | ((+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (- (/ (- (/ 2 z) -2) t) 2) (/ (- (/ 2 z) -2) t) (- (/ 2 z) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (+ (* z 2) 2) (* t z) (/ (+ (* z 2) 2) (* t z)) (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (/ 1 t) (+ (/ 2 z) 2) (- (/ (/ 2 z) t) (/ -2 t)) (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/ (/ 2 z) t) (/ 2 z) (/ -2 t)) |
| 1× | egg-herbie |
| 10 802× | lower-fma.f64 |
| 10 802× | lower-fma.f32 |
| 4 560× | lower-*.f64 |
| 4 560× | lower-*.f32 |
| 1 204× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 4990 |
| 1 | 342 | 4986 |
| 2 | 808 | 4902 |
| 3 | 2038 | 4466 |
| 4 | 6023 | 4466 |
| 0 | 8178 | 4362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ -2 t) |
(/ -2 t) |
(/ -2 t) |
(/ -2 t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ (* -2 (* y z)) (* x z)) (* y z)) |
(+ -2 (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y)))) |
(+ -2 (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y)))) |
(+ -2 (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ -2 t) |
(/ -2 t) |
(/ -2 t) |
(/ -2 t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(/ (+ (* -2 (* y z)) (* x z)) (* y z)) |
(+ -2 (+ (* 2 (/ 1 (* t z))) (+ (/ 2 t) (/ x y)))) |
(+ -2 (+ (* 2 (/ 1 (* t z))) (+ (/ 2 t) (/ x y)))) |
(+ -2 (+ (* 2 (/ 1 (* t z))) (+ (/ 2 t) (/ x y)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/ (+ 2 (* 2 z)) (* t z)) |
-2 |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(- (/ x y) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ -2 t) |
(/ -2 t) |
(/ -2 t) |
(/ -2 t) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ 2 z) |
(/ (+ 2 (* 2 z)) z) |
(/ (+ 2 (* 2 z)) z) |
(/ (+ 2 (* 2 z)) z) |
(/ 2 (* t z)) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
2 |
(+ 2 (* 2 z)) |
(+ 2 (* 2 z)) |
(+ 2 (* 2 z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (* 2 (/ 1 t)) 2)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ (+ (* z (- (+ (* 2 (/ 1 t)) (/ x y)) 2)) (* 2 (/ 1 t))) z) |
(/ 2 z) |
(/ (+ 2 (* 2 z)) z) |
(/ (+ 2 (* 2 z)) z) |
(/ (+ 2 (* 2 z)) z) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ (+ (* 2 (/ z t)) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ (+ (* z (+ (* 2 (/ (- 1 t) t)) (/ x y))) (* 2 (/ 1 t))) z) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(- (* 2 (/ 1 t)) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(- (+ (* 2 (/ 1 t)) (/ x y)) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ (+ 2 (* -2 t)) t) |
(+ -2 (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z))))) |
(+ -2 (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z))))) |
(+ -2 (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z))))) |
(/ (+ x (* 2 (/ (* y (- 1 t)) t))) y) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(* 2 z) |
(* z (+ 2 (* 2 (/ 1 z)))) |
(* z (+ 2 (* 2 (/ 1 z)))) |
(* z (+ 2 (* 2 (/ 1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(- (* 2 (/ 1 t)) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (/ x y)) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(- (* 2 (/ 1 t)) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(- (+ (* 2 (/ 1 t)) (/ x y)) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ (+ 2 (* -2 t)) t) |
(+ -2 (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z))))) |
(+ -2 (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z))))) |
(+ -2 (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z))))) |
(* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) |
(+ (* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) (* 2 (/ 1 (* t z)))) |
(+ (* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) (* 2 (/ 1 (* t z)))) |
(+ (* -1 (/ (+ (* -2 (/ (* y (- 1 t)) t)) (* -1 x)) y)) (* 2 (/ 1 (* t z)))) |
(* 2 z) |
(* z (+ 2 (* 2 (/ 1 z)))) |
(* z (+ 2 (* 2 (/ 1 z)))) |
(* z (+ 2 (* 2 (/ 1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(- (* 2 (/ 1 t)) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (/ x y)) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
2 |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(+ 2 (* 2 (/ 1 z))) |
(/ 2 t) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ (- 1 t) t)) (/ x y)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 (* t z)) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ x y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ (+ x (* y (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2))) y) |
(/ x y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(/ (+ x (* y (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))))) y) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ (* 2 (/ (* z (- 1 t)) t)) (* 2 (/ 1 t))) z) |
(+ (* 2 (/ (- 1 t) t)) (+ (/ 2 (* t z)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (/ 2 (* t z)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (/ 2 (* t z)) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ 2 (* 2 (* z (- 1 t)))) (* t z)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ 2 (* 2 (* z (- 1 t)))) (* t z)) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(+ (* 2 (/ (- 1 t) t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) |
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(- (+ (* 2 (/ 1 t)) (+ (* 2 (/ 1 (* t z))) (/ x y))) 2) |
(+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(+ (* 2 (/ 1 (* t z))) (+ (* 2 (/ (- 1 t) t)) (/ x y))) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(* x (- (+ (/ 1 y) (+ (/ 2 (* t x)) (/ 2 (* t (* x z))))) (* 2 (/ 1 x)))) |
(/ x y) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(* x (+ (* 2 (/ (- 1 t) (* t x))) (+ (/ 1 y) (/ 2 (* t (* x z)))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
| Outputs |
|---|
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* t (- (/ x y) 2)) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 z)) (* t z)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* -2 t) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ (+ 2 (+ (* 2 (/ 1 z)) (* t (- (/ x y) 2)))) t) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal 2 binary64)) t (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) t) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ -2 t) |
(/.f64 #s(literal -2 binary64) t) |
(/ -2 t) |
(/.f64 #s(literal -2 binary64) t) |
(/ -2 t) |
(/.f64 #s(literal -2 binary64) t) |
(/ -2 t) |
(/.f64 #s(literal -2 binary64) t) |
(- (/ x y) 2) |
(-.f64 (/.f64 x y) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(- (+ (* 2 (/ 1 t)) (+ (/ 2 (* t z)) (/ x y))) 2) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
-2 |
#s(literal -2 binary64) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) |
(- (+ (* 2 (/ 1 t)) (/ 2 (* t z))) 2) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t) #s(literal 2 binary64)) |
(/ (+ 2 (* 2 (/ 1 z))) t) |
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(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (* t z)))) 2) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 (/ (- 1 t) t)) (* 2 (/ 1 (* t z)))) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) t))) |
| 4 536× | lower-/.f32 |
| 4 522× | lower-/.f64 |
| 3 826× | lower-*.f32 |
| 3 824× | lower-*.f64 |
| 2 884× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 223 |
| 0 | 65 | 217 |
| 1 | 357 | 213 |
| 2 | 3675 | 213 |
| 0 | 8135 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) |
(-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
(/.f64 x y) |
#s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
(fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 t z) |
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) t) |
(+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) t) |
(/.f64 #s(literal 2 binary64) z) |
(/.f64 #s(literal -2 binary64) t) |
| Outputs |
|---|
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Compiled 17 556 to 1 953 computations (88.9% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 176 | 8 | 1 184 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 183 | 20 | 1 203 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (/.f64 #s(approx (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (*.f64 (/.f64 y t) #s(literal 2 binary64))) (*.f64 z y)) | |
| 27.7% | (/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) | |
| 59.7% | (+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) | |
| ✓ | 59.7% | (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
| ✓ | 50.8% | (+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
| 55.7% | (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) | |
| ✓ | 51.3% | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
| 41.2% | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) | |
| 29.0% | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) | |
| 40.7% | #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) t) (/.f64 #s(literal 2 binary64) z))) | |
| 29.0% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) | |
| ✓ | 29.0% | #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
| 40.2% | #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) | |
| 18.5% | #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) | |
| ✓ | 51.4% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
| 41.8% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 t z) #s(literal -2 binary64))) (*.f64 (*.f64 t z) t))) | |
| ✓ | 24.3% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
| ✓ | 34.0% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
| 45.6% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) | |
| 45.6% | #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
Compiled 623 to 334 computations (46.4% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) t) (/.f64 #s(literal 2 binary64) z))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(approx (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (*.f64 (/.f64 y t) #s(literal 2 binary64))) (*.f64 z y)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) |
(+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) |
(/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 t z) #s(literal -2 binary64))) (*.f64 (*.f64 t z) t))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 (*.f64 t x) z (*.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) y)) (*.f64 t z)) y) |
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
(/.f64 (fma.f64 (*.f64 x t) z (*.f64 y (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)))) (*.f64 (*.f64 t z) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) t) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 t (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 t z) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) (*.f64 t z)) (/.f64 x y))) |
| Outputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
7 calls:
| 36.0ms | y |
| 16.0ms | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 14.0ms | t |
| 14.0ms | z |
| 13.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | x |
| 91.9% | 3 | y |
| 99.8% | 3 | z |
| 95.7% | 3 | t |
| 99.8% | 2 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 98.6% | 3 | (/.f64 x y) |
| 99.4% | 2 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 37 to 47 computations (-27% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) t) (/.f64 #s(literal 2 binary64) z))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(approx (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (*.f64 (/.f64 y t) #s(literal 2 binary64))) (*.f64 z y)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) |
(+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) |
(/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 t z) #s(literal -2 binary64))) (*.f64 (*.f64 t z) t))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 (*.f64 t x) z (*.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) y)) (*.f64 t z)) y) |
| Outputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) |
4 calls:
| 23.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 13.0ms | z |
| 10.0ms | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 10.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (/.f64 x y) |
| 94.8% | 3 | z |
| 98.8% | 4 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 99.0% | 4 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
Compiled 34 to 35 computations (-2.9% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) t) (/.f64 #s(literal 2 binary64) z))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(approx (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (*.f64 (/.f64 y t) #s(literal 2 binary64))) (*.f64 z y)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) |
(+.f64 (/.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) z) t) (/.f64 x y)) |
(/.f64 (fma.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) t) y (*.f64 z x)) (*.f64 z y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 t z) #s(literal -2 binary64))) (*.f64 (*.f64 t z) t))) |
| Outputs |
|---|
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) |
1 calls:
| 36.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (/.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) t) (/.f64 #s(literal 2 binary64) z))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(approx (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (*.f64 (/.f64 y t) #s(literal 2 binary64))) (*.f64 z y)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) z #s(literal 2 binary64)) t) z)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) t) (/.f64 #s(literal -2 binary64) t))) |
| Outputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
5 calls:
| 26.0ms | (/.f64 x y) |
| 12.0ms | t |
| 9.0ms | z |
| 9.0ms | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 9.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | z |
| 85.4% | 3 | t |
| 89.2% | 4 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 82.7% | 4 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 93.6% | 3 | (/.f64 x y) |
Compiled 35 to 39 computations (-11.4% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) #s(approx (/ (- (/ 2 z) -2) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) t) (/.f64 #s(literal 2 binary64) z))) |
| Outputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
4 calls:
| 22.0ms | x |
| 13.0ms | z |
| 7.0ms | y |
| 7.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 3 | x |
| 85.1% | 3 | y |
| 90.7% | 3 | (/.f64 x y) |
| 87.6% | 3 | z |
Compiled 6 to 17 computations (-183.3% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) t) z)) |
| Outputs |
|---|
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
1 calls:
| 6.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 3 | (/.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 t z) y)) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
3 calls:
| 9.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 6.0ms | z |
| 6.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 3 | z |
| 88.6% | 5 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 77.5% | 4 | (/.f64 x y) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
2 calls:
| 5.0ms | t |
| 5.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | t |
| 86.8% | 4 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 #s(approx (/ (- (/ 2 z) -2) t) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) #s(literal 2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
1 calls:
| 8.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 4 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (/.f64 #s(literal 2 binary64) z) t)) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
7 calls:
| 8.0ms | z |
| 8.0ms | t |
| 5.0ms | x |
| 4.0ms | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 4 | z |
| 67.3% | 3 | (/.f64 x y) |
| 60.6% | 6 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 66.4% | 3 | t |
| 60.4% | 3 | x |
| 63.0% | 3 | y |
| 72.8% | 6 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 37 to 47 computations (-27% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
1 calls:
| 4.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 6 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 #s(approx (+ (* z 2) 2) #s(literal 2 binary64)) (*.f64 t z))) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 (fma.f64 #s(literal -2 binary64) y x) y)) |
| Outputs |
|---|
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
1 calls:
| 3.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 6 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
(+.f64 (/.f64 x y) #s(approx (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) |
2 calls:
| 3.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 3.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 3 | (/.f64 x y) |
| 62.8% | 4 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
Compiled 16 to 17 computations (-6.3% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
1 calls:
| 6.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 3 | (/.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
7 calls:
| 2.0ms | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 7 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 43.9% | 3 | x |
| 48.5% | 4 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 46.7% | 3 | y |
| 37.0% | 2 | z |
| 52.6% | 4 | t |
| 56.2% | 5 | (/.f64 x y) |
Compiled 37 to 47 computations (-27% saved)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
#s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) |
2 calls:
| 4.0ms | (/.f64 x y) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 2 | t |
| 49.9% | 3 | (/.f64 x y) |
Compiled 4 to 9 computations (-125% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
7 calls:
| 1.0ms | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.5% | 1 | t |
| 18.5% | 1 | z |
| 18.5% | 1 | x |
| 18.5% | 1 | (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) |
| 18.5% | 1 | y |
| 18.5% | 1 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) |
| 18.5% | 1 | (/.f64 x y) |
Compiled 37 to 47 computations (-27% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 20 to 21 computations (-5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3542316829116308e-17 | 2.5924933790764656e-13 |
| 0.0ms | -236367885370354020.0 | -121769989.92618242 |
Compiled 20 to 21 computations (-5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3542316829116308e-17 | 2.5924933790764656e-13 |
| 0.0ms | -236367885370354020.0 | -121769989.92618242 |
Compiled 20 to 21 computations (-5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.744310525973181e-22 | 3.344670316239472e-16 |
| 14.0ms | -4.569739128543718e-19 | -7.965201508865302e-20 |
| 18.0ms | 240× | 0 | valid |
Compiled 320 to 351 computations (-9.7% saved)
ival-mult: 4.0ms (34.2% of total)ival-div: 3.0ms (25.7% of total)ival-add: 2.0ms (17.1% of total)ival-sub: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5924933790764656e-13 | 6.456803546300301e-5 |
| 0.0ms | -2.602162818082725e+41 | -2.4423797366468875e+40 |
Compiled 20 to 21 computations (-5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5924933790764656e-13 | 6.456803546300301e-5 |
| 0.0ms | -2.602162818082725e+41 | -2.4423797366468875e+40 |
Compiled 20 to 21 computations (-5% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 3.832416258652047e+131 | 5.740861740977816e+133 |
| 0.0ms | -1.9999999999892903 | -1.99997575719898 |
| 0.0ms | -2922987304.627875 | -801927146.4729999 |
Compiled 20 to 21 computations (-5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 9.863271832283134e+34 | 1.1539660320136994e+43 |
| 0.0ms | -2922987304.627875 | -801927146.4729999 |
Compiled 20 to 21 computations (-5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 9.863271832283134e+34 | 1.1539660320136994e+43 |
| 0.0ms | -2922987304.627875 | -801927146.4729999 |
Compiled 20 to 21 computations (-5% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.415868431194255e+150 | 1.4971374026914014e+152 |
| 0.0ms | 1.1436121448394322e+90 | 2.4101188917566327e+90 |
| 0.0ms | -3.2144194447201204e+49 | -1.4284492916152297e+41 |
| 0.0ms | -1.0231580634688854e+264 | -2.0966127773950152e+258 |
Compiled 20 to 21 computations (-5% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.415868431194255e+150 | 1.4971374026914014e+152 |
| 0.0ms | 1.1436121448394322e+90 | 2.4101188917566327e+90 |
| 0.0ms | -3.2144194447201204e+49 | -1.4284492916152297e+41 |
| 0.0ms | -1.0231580634688854e+264 | -2.0966127773950152e+258 |
Compiled 20 to 21 computations (-5% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.415868431194255e+150 | 1.4971374026914014e+152 |
| 0.0ms | 1.1436121448394322e+90 | 2.4101188917566327e+90 |
| 0.0ms | -3.2144194447201204e+49 | -1.4284492916152297e+41 |
| 0.0ms | -1.0231580634688854e+264 | -2.0966127773950152e+258 |
Compiled 20 to 21 computations (-5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 6.456803546300301e-5 | 22959.40977649788 |
| 56.0ms | -2.4423797366468875e+40 | -6.683438125908303e+34 |
| 60.0ms | 288× | 0 | valid |
Compiled 200 to 327 computations (-63.5% saved)
ival-div: 43.0ms (81.8% of total)ival-mult: 5.0ms (9.5% of total)ival-add: 3.0ms (5.7% of total)ival-sub: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 76286351.48197621 | 13189259817587.637 |
| 1.0ms | -2.4423797366468875e+40 | -6.683438125908303e+34 |
| 14.0ms | 144× | 0 | valid |
Compiled 182 to 309 computations (-69.8% saved)
ival-add: 3.0ms (37.5% of total)ival-mult: 3.0ms (37.5% of total)ival-sub: 1.0ms (12.5% of total)ival-div: 1.0ms (12.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 76286351.48197621 | 13189259817587.637 |
| 0.0ms | -9.33e-321 | -0.0 |
| 7.0ms | -4.947941746722853e-32 | -2.745445224929407e-32 |
| 17.0ms | -121769989.92618242 | -0.4122855619209825 |
| 14.0ms | 208× | 0 | valid |
Compiled 178 to 359 computations (-101.7% saved)
ival-mult: 4.0ms (48% of total)ival-add: 2.0ms (24% of total)ival-sub: 1.0ms (12% of total)ival-div: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.5924933790764656e-13 | 6.456803546300301e-5 |
| 16.0ms | -121769989.92618242 | -0.4122855619209825 |
| 17.0ms | 257× | 0 | valid |
| 3.0ms | 14× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 110 to 273 computations (-148.2% saved)
ival-mult: 5.0ms (41.5% of total)ival-add: 3.0ms (24.9% of total)ival-div: 2.0ms (16.6% of total)ival-sub: 2.0ms (16.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | +-commutative-binary64-+.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 12× | *-commutative-binary64-*.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2095 |
| 1 | 193 | 2095 |
| 2 | 204 | 2095 |
| 3 | 210 | 2095 |
| 4 | 213 | 2095 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #s(literal +inf.0 binary64)) (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000000 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) (if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000000 binary64)) (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) (if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))))) |
(if (<=.f64 z #s(literal -4673067172681345/10384593717069655257060992658440192 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (if (<=.f64 z #s(literal 5476250592985951/40564819207303340847894502572032 binary64)) (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000001240017290081556638990336 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) (if (<=.f64 (/.f64 x y) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000001240017290081556638990336 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) (if (<=.f64 (/.f64 x y) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -2000000000 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -9007109182748445/4503599627370496 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -2000000000 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 99999999999999996863366107917975552 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -2000000000 binary64)) #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 99999999999999996863366107917975552 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (/ (+ 2 (* (* z 2) (- 1 t))) t) y) (* z x)) (* z y)) (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 t z))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 (/.f64 #s(literal 2 binary64) t) z)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -19999999999999998929805538950963586393744829579264 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) (/.f64 #s(literal 2 binary64) z)) t)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -19999999999999998929805538950963586393744829579264 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504 binary64)) #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal -19999999999999998929805538950963586393744829579264 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 z t))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))))))) |
(if (<=.f64 (/.f64 x y) #s(literal -110000000000000003190530585245211688960 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 4 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))))) |
(if (<=.f64 (/.f64 x y) #s(literal -110000000000000003190530585245211688960 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 53000000000 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -35000000 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal -7855571300653603/182687704666362864775460604089535377456991567872 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (if (<=.f64 (/.f64 x y) #s(literal -253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) (if (<=.f64 (/.f64 x y) #s(literal 53000000000 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)))))) |
(if (<=.f64 (/.f64 x y) #s(literal -2 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 4574792530279969/73786976294838206464 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
| Outputs |
|---|
(if (<=.f64 (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) #s(literal +inf.0 binary64)) (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) t))) (*.f64 t z))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) (/.f64 x y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) (/.f64 x y)) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)) (/.f64 x y))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000000 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))) (if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t))))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000000 binary64)) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000000 binary64)) (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))) (if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z))))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000000 binary64)) (+.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z)) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) (fma.f64 z #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 t z)) (/.f64 x y)))) |
(if (<=.f64 z #s(literal -4673067172681345/10384593717069655257060992658440192 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (if (<=.f64 z #s(literal 5476250592985951/40564819207303340847894502572032 binary64)) (+.f64 (/.f64 x y) (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))))) |
(if (<=.f64 z #s(literal -4673067172681345/10384593717069655257060992658440192 binary64)) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64))) (/.f64 x y)) (if (<=.f64 z #s(literal 5476250592985951/40564819207303340847894502572032 binary64)) (+.f64 (/.f64 #s(approx (+ 2 (* (* z 2) (- 1 t))) #s(literal 2 binary64)) (*.f64 t z)) (/.f64 x y)) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64))) (/.f64 x y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000001240017290081556638990336 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) (if (<=.f64 (/.f64 x y) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000001240017290081556638990336 binary64)) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64))) (/.f64 x y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -200000000000000001240017290081556638990336 binary64)) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))) (if (<=.f64 (/.f64 x y) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64)) t) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t))))) |
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(if (<=.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) #s(literal -1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504 binary64)) #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 t z))) (if (<=.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) #s(literal -19999999999999998929805538950963586393744829579264 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)) (/.f64 x y)) (if (<=.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (if (<=.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t z)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (* x t) z) (* y (+ (* (+ (* -2 t) 2) z) 2))) (* (* t z) y)) (/.f64 #s(literal 2 binary64) (*.f64 t z))) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)) (/.f64 x y))))))) |
(if (<=.f64 (/.f64 x y) #s(literal -110000000000000003190530585245211688960 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 4 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (+.f64 (/.f64 x y) #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64))))) |
(if (<=.f64 (/.f64 x y) #s(literal -110000000000000003190530585245211688960 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 4 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) (+.f64 #s(approx (/ (+ 2 (* (* z 2) (- 1 t))) (* t z)) #s(literal -2 binary64)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -110000000000000003190530585245211688960 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 53000000000 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -35000000 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal -7855571300653603/182687704666362864775460604089535377456991567872 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) (if (<=.f64 (/.f64 x y) #s(literal -253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) (if (<=.f64 (/.f64 x y) #s(literal 53000000000 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 #s(approx (- (/ 2 z) -2) #s(literal 2 binary64)) t)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)))))) |
(if (<=.f64 (/.f64 x y) #s(literal -2 binary64)) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)) (if (<=.f64 (/.f64 x y) #s(literal 4574792530279969/73786976294838206464 binary64)) #s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) #s(approx (+ (/ x y) (/ (+ 2 (* (* z 2) (- 1 t))) (* t z))) (/.f64 x y)))) |
#s(approx (+ (/ x y) (/ (/ (+ (* (+ (* -2 t) 2) z) 2) t) z)) #s(approx (+ (* (/ 1 t) (+ (/ 2 z) 2)) -2) #s(literal -2 binary64))) |
| 13 688× | lower-fma.f64 |
| 13 688× | lower-fma.f32 |
| 11 830× | lower-fma.f64 |
| 11 830× | lower-fma.f32 |
| 10 802× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 216 |
| 0 | 52 | 216 |
| 1 | 247 | 216 |
| 2 | 2347 | 216 |
| 0 | 8782 | 209 |
| 0 | 136 | 4990 |
| 1 | 342 | 4986 |
| 2 | 808 | 4902 |
| 3 | 2038 | 4466 |
| 4 | 6023 | 4466 |
| 0 | 8178 | 4362 |
| 0 | 230 | 6191 |
| 1 | 710 | 6086 |
| 2 | 2111 | 5974 |
| 3 | 5867 | 5930 |
| 0 | 8287 | 5397 |
| 0 | 215 | 6401 |
| 1 | 697 | 6156 |
| 2 | 2208 | 5972 |
| 3 | 6003 | 5932 |
| 0 | 8224 | 5364 |
| 0 | 52 | 252 |
| 0 | 72 | 246 |
| 1 | 331 | 240 |
| 2 | 3007 | 240 |
| 0 | 8809 | 234 |
| 0 | 14 | 52 |
| 0 | 22 | 52 |
| 1 | 93 | 52 |
| 2 | 929 | 52 |
| 0 | 8556 | 45 |
| 0 | 99 | 1454 |
| 1 | 287 | 1372 |
| 2 | 792 | 1352 |
| 3 | 1997 | 1292 |
| 4 | 5102 | 1250 |
| 0 | 8157 | 1178 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 510 to 761 computations (49.6% saved)
Compiled 2 034 to 326 computations (84% saved)
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