
Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 4 |
| 60% | 37.5% | 25% | 0% | 0% | 37.5% | 0% | 5 |
| 77.8% | 43.7% | 12.5% | 0% | 0% | 43.7% | 0% | 6 |
| 88.2% | 46.9% | 6.2% | 0% | 0% | 46.9% | 0% | 7 |
| 93.9% | 48.4% | 3.1% | 0% | 0% | 48.4% | 0% | 8 |
| 96.9% | 49.2% | 1.6% | 0% | 0% | 49.2% | 0% | 9 |
| 98.4% | 49.6% | 0.8% | 0% | 0% | 49.6% | 0% | 10 |
| 99.2% | 49.8% | 0.4% | 0% | 0% | 49.8% | 0% | 11 |
| 99.6% | 49.9% | 0.2% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 778.0ms | 8 256× | 0 | valid |
| 1.0ms | 11× | 0 | invalid |
ival-add: 237.0ms (39.6% of total)ival-mult: 101.0ms (16.9% of total)ival-atan: 78.0ms (13% of total)ival-sqrt: 61.0ms (10.2% of total)ival-div: 54.0ms (9% of total)ival-sub: 54.0ms (9% of total)exact: 7.0ms (1.2% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 39.0ms | 512× | 0 | valid |
Compiled 104 to 31 computations (70.2% saved)
ival-atan: 6.0ms (23.4% of total)ival-add: 5.0ms (19.5% of total)ival-sqrt: 4.0ms (15.6% of total)ival-div: 3.0ms (11.7% of total)ival-mult: 3.0ms (11.7% of total)ival-sub: 3.0ms (11.7% 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 |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 132× | lower-*.f32 |
| 130× | lower-*.f64 |
| 84× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 31 | 22 |
| 2 | 59 | 22 |
| 3 | 108 | 22 |
| 4 | 180 | 22 |
| 5 | 350 | 22 |
| 6 | 620 | 22 |
| 7 | 647 | 22 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 24 | 11 |
| 2 | 30 | 11 |
| 3 | 41 | 11 |
| 4 | 64 | 11 |
| 5 | 98 | 11 |
| 6 | 135 | 11 |
| 7 | 208 | 11 |
| 8 | 330 | 11 |
| 9 | 498 | 11 |
| 10 | 529 | 11 |
| 0 | 529 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) |
Compiled 12 to 9 computations (25% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 132× | lower-*.f32 |
| 130× | lower-*.f64 |
| 74× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 15 | 44 |
| 1 | 24 | 44 |
| 2 | 30 | 44 |
| 3 | 41 | 44 |
| 4 | 64 | 44 |
| 5 | 98 | 44 |
| 6 | 135 | 44 |
| 7 | 208 | 44 |
| 8 | 330 | 44 |
| 9 | 498 | 44 |
| 10 | 529 | 44 |
| 0 | 529 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0.00390625 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.00390625 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.03515625 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 17.0ms | 256× | 0 | valid |
Compiled 46 to 11 computations (76.1% saved)
ival-div: 2.0ms (18.8% of total)ival-mult: 2.0ms (18.8% of total)ival-atan: 2.0ms (18.8% of total)ival-sub: 2.0ms (18.8% of total)ival-sqrt: 2.0ms (18.8% of total)ival-add: 1.0ms (9.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 x)) 1) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (patch (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) |
| 1.0ms | x | @ | inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) |
| 1.0ms | x | @ | 0 | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) |
| 1× | egg-herbie |
| 10 954× | lower-fma.f64 |
| 10 954× | lower-fma.f32 |
| 2 906× | lower-*.f64 |
| 2 906× | lower-*.f32 |
| 1 802× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2111 | 454 |
| 4 | 6112 | 448 |
| 0 | 8073 | 437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) x)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)) |
| 2 152× | lower-fma.f64 |
| 2 152× | lower-fma.f32 |
| 2 042× | lower-*.f32 |
| 2 040× | lower-*.f64 |
| 1 870× | lower-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 36 |
| 1 | 52 | 36 |
| 2 | 339 | 36 |
| 3 | 4589 | 8 |
| 0 | 9824 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
Compiled 650 to 106 computations (83.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 4 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 5 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.9% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ▶ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.6% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 52 to 40 computations (23.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
| 2 920× | lower-fma.f32 |
| 2 910× | lower-fma.f64 |
| 856× | lower-*.f32 |
| 848× | lower-*.f64 |
| 496× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 210 |
| 0 | 46 | 210 |
| 1 | 68 | 210 |
| 2 | 92 | 210 |
| 3 | 181 | 210 |
| 4 | 345 | 210 |
| 5 | 613 | 210 |
| 6 | 1149 | 210 |
| 7 | 2060 | 210 |
| 8 | 2506 | 210 |
| 9 | 2667 | 210 |
| 10 | 2740 | 210 |
| 11 | 2839 | 210 |
| 12 | 2885 | 210 |
| 13 | 2885 | 210 |
| 0 | 2885 | 210 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0 | (atan.f64 #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 0.8050551918217591 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 0.9262799219726098 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 1.1913648588803425 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 152 to 26 computations (82.9% saved)
ival-mult: 10.0ms (36.5% of total)ival-add: 8.0ms (29.2% of total)ival-atan: 4.0ms (14.6% of total)ival-div: 2.0ms (7.3% of total)ival-sub: 2.0ms (7.3% of total)ival-sqrt: 2.0ms (7.3% of total)exact: 1.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(literal 1 binary64)) (patch (atan.f64 #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (* (atan 1) 2) (atan 1) (+ (* -1/2 x) 1/2)) |
| 1.0ms | x | @ | -inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (* (atan 1) 2) (atan 1) (+ (* -1/2 x) 1/2)) |
| 1.0ms | x | @ | 0 | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (* (atan 1) 2) (atan 1) (+ (* -1/2 x) 1/2)) |
| 1× | egg-herbie |
| 16 094× | lower-fma.f64 |
| 16 094× | lower-fma.f32 |
| 3 382× | lower-*.f64 |
| 3 382× | lower-*.f32 |
| 2 562× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1615 |
| 1 | 328 | 1428 |
| 2 | 1084 | 1406 |
| 3 | 3685 | 1378 |
| 4 | 7821 | 1378 |
| 0 | 8194 | 1314 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1/2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(* -1/2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
| 4 902× | lower-fma.f32 |
| 4 892× | lower-fma.f64 |
| 4 440× | lower-/.f64 |
| 4 440× | lower-/.f32 |
| 4 296× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 183 |
| 0 | 46 | 183 |
| 1 | 151 | 183 |
| 2 | 1041 | 183 |
| 0 | 8475 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
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(fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(atan.f64 #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/64 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (*.f64 x #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (*.f64 x #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (*.f64 x #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
Compiled 8 717 to 1 099 computations (87.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 363 | 1 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 363 | 6 | 369 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 98.6% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
| ✓ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 66 to 50 computations (24.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) | |
| cost-diff | 128 | (-.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 1088 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
| 18 220× | lower-fma.f32 |
| 18 218× | lower-fma.f64 |
| 2 462× | lower-*.f32 |
| 2 460× | lower-*.f64 |
| 2 258× | lower--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 81 |
| 0 | 22 | 81 |
| 1 | 38 | 81 |
| 2 | 52 | 76 |
| 3 | 92 | 76 |
| 4 | 175 | 56 |
| 5 | 416 | 56 |
| 6 | 1494 | 56 |
| 7 | 5157 | 56 |
| 8 | 7096 | 56 |
| 0 | 8042 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) | |
| accuracy | 0.02734375 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) | |
| accuracy | 1.1913648588803425 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| 50.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 55 to 17 computations (69.1% saved)
ival-sub: 19.0ms (48.2% of total)ival-add: 8.0ms (20.3% of total)ival-div: 3.0ms (7.6% of total)ival-mult: 3.0ms (7.6% of total)ival-atan: 2.0ms (5.1% of total)ival-sqrt: 2.0ms (5.1% of total)ival-neg: 1.0ms (2.5% 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)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (+ (* x x) -1) (- (neg x) 1)) (- (neg x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (neg x)) |
| 1.0ms | x | @ | inf | ((/ (+ (* x x) -1) (- (neg x) 1)) (- (neg x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ (+ (* x x) -1) (- (neg x) 1)) (- (neg x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (neg x)) |
| 1× | egg-herbie |
| 9 614× | lower-fma.f64 |
| 9 614× | lower-fma.f32 |
| 2 626× | lower-*.f64 |
| 2 626× | lower-*.f32 |
| 1 910× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 542 |
| 1 | 223 | 481 |
| 2 | 647 | 466 |
| 3 | 1707 | 458 |
| 4 | 4805 | 448 |
| 0 | 8068 | 444 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 578× | lower-fma.f32 |
| 5 576× | lower-fma.f64 |
| 2 638× | lower-/.f32 |
| 2 636× | lower-/.f64 |
| 2 632× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 73 |
| 0 | 22 | 73 |
| 1 | 95 | 49 |
| 2 | 723 | 26 |
| 0 | 10884 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 x x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) x)) x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))) |
(+.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x x) x))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(-.f64 #s(literal 0 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) x) |
x |
Compiled 20 169 to 2 685 computations (86.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 1 | 719 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 719 | 6 | 725 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 98.6% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
| ✓ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 65 to 48 computations (26.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) | |
| cost-diff | 1088 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
| 17 570× | lower-fma.f32 |
| 17 568× | lower-fma.f64 |
| 2 396× | lower-*.f32 |
| 2 394× | lower-*.f64 |
| 1 960× | lower-+.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 73 |
| 0 | 20 | 73 |
| 1 | 34 | 73 |
| 2 | 45 | 73 |
| 3 | 79 | 73 |
| 4 | 138 | 73 |
| 5 | 311 | 53 |
| 6 | 1117 | 53 |
| 7 | 3763 | 53 |
| 8 | 5426 | 53 |
| 9 | 6668 | 53 |
| 10 | 7377 | 53 |
| 11 | 7937 | 53 |
| 0 | 8007 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0.02734375 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.1913648588803425 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
| 53.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 50 to 16 computations (68% saved)
ival-add: 29.0ms (62.8% of total)ival-div: 7.0ms (15.1% of total)ival-mult: 3.0ms (6.5% of total)ival-sub: 3.0ms (6.5% of total)ival-atan: 2.0ms (4.3% of total)ival-sqrt: 2.0ms (4.3% 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)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor 0 x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) (taylor 0 x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (- 1 x) (+ 1 x)))) (taylor inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) (taylor inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (patch (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (patch (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) (taylor -inf x) (#s(alt #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (+ (* x x) -1) (- -1 x)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) |
| 1.0ms | x | @ | 0 | ((/ (+ (* x x) -1) (- -1 x)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) |
| 1.0ms | x | @ | -inf | ((/ (+ (* x x) -1) (- -1 x)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) |
| 1× | egg-herbie |
| 11 462× | lower-fma.f64 |
| 11 462× | lower-fma.f32 |
| 3 104× | lower-*.f64 |
| 3 104× | lower-*.f32 |
| 1 454× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 477 |
| 1 | 208 | 416 |
| 2 | 618 | 410 |
| 3 | 1613 | 402 |
| 4 | 5509 | 392 |
| 0 | 8187 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
| 7 108× | lower-fma.f32 |
| 7 106× | lower-fma.f64 |
| 4 160× | lower-*.f32 |
| 4 158× | lower-*.f64 |
| 4 022× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 63 |
| 0 | 20 | 63 |
| 1 | 88 | 43 |
| 2 | 669 | 43 |
| 0 | 8523 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (-.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) x)) x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
Compiled 10 167 to 1 427 computations (86% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 0 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 399 | 6 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 98.6% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
| ✓ | 98.2% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 138 to 83 computations (39.9% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
5 calls:
| 7.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 3.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
5 calls:
| 4.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.8% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.8% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
5 calls:
| 4.0ms | x |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.6% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.2% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.2% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
5 calls:
| 3.0ms | x |
| 1.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 96.9% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 96.9% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 96.9% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 71 |
| 1 | 43 | 71 |
| 2 | 46 | 71 |
| 3 | 48 | 71 |
| 4 | 49 | 71 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 10 954× | lower-fma.f64 |
| 10 954× | lower-fma.f32 |
| 2 906× | lower-*.f64 |
| 2 906× | lower-*.f32 |
| 2 152× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 36 |
| 1 | 52 | 36 |
| 2 | 339 | 36 |
| 3 | 4589 | 8 |
| 0 | 9824 | 8 |
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2111 | 454 |
| 4 | 6112 | 448 |
| 0 | 8073 | 437 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 80 to 51 computations (36.3% saved)
Compiled 120 to 68 computations (43.3% saved)
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