
Time bar (total: 6.0s)
| 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% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 4 to 4 computations (0% saved)
| 309.0ms | 8 256× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
ival-atanh: 71.0ms (90.1% of total)ival-true: 5.0ms (6.3% of total)ival-assert: 3.0ms (3.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) 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 |
| 30.0ms | 512× | 0 | valid |
Compiled 92 to 31 computations (66.3% saved)
ival-mult: 6.0ms (34.7% of total)ival-sub: 3.0ms (17.3% of total)ival-div: 3.0ms (17.3% of total)ival-log1p: 3.0ms (17.3% of total)ival-true: 1.0ms (5.8% of total)exact: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 124× | lower-fma.f64 |
| 124× | lower-fma.f32 |
| 88× | lower-*.f32 |
| 84× | lower-*.f64 |
| 76× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 24 | 10 |
| 2 | 31 | 10 |
| 3 | 37 | 10 |
| 4 | 44 | 10 |
| 5 | 58 | 10 |
| 6 | 96 | 10 |
| 7 | 163 | 10 |
| 8 | 221 | 10 |
| 9 | 249 | 10 |
| 10 | 260 | 10 |
| 11 | 270 | 10 |
| 12 | 270 | 10 |
| 0 | 270 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 10 to 9 computations (10% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 124× | lower-fma.f64 |
| 124× | lower-fma.f32 |
| 88× | lower-*.f32 |
| 84× | lower-*.f64 |
| 76× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 35 |
| 1 | 24 | 35 |
| 2 | 31 | 35 |
| 3 | 37 | 35 |
| 4 | 44 | 35 |
| 5 | 58 | 35 |
| 6 | 96 | 35 |
| 7 | 163 | 35 |
| 8 | 221 | 35 |
| 9 | 249 | 35 |
| 10 | 260 | 35 |
| 11 | 270 | 35 |
| 12 | 270 | 35 |
| 0 | 270 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.01171875 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.02734375 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 30.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-mult: 18.0ms (74.9% of total)ival-div: 3.0ms (12.5% of total)ival-log1p: 2.0ms (8.3% of total)ival-sub: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1× | egg-herbie |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 3 522× | lower-*.f64 |
| 3 522× | lower-*.f32 |
| 2 748× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
| 4 286× | lower-fma.f64 |
| 4 286× | lower-fma.f32 |
| 3 506× | lower-*.f32 |
| 3 502× | lower-*.f64 |
| 2 126× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 54 | 28 |
| 2 | 404 | 28 |
| 3 | 5595 | 28 |
| 0 | 8636 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)))))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)))) (log1p.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64)))) |
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(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x x x))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 x (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 x (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #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 -2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x x) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(fma.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x x)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x x))) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
Compiled 4 258 to 822 computations (80.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 7 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 8 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) | |
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 98.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
Compiled 224 to 153 computations (31.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 1984 | (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
| 13 842× | lower-fma.f32 |
| 13 826× | lower-fma.f64 |
| 2 592× | lower-*.f32 |
| 2 568× | lower-*.f64 |
| 1 924× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 413 |
| 0 | 71 | 384 |
| 1 | 133 | 384 |
| 2 | 249 | 384 |
| 3 | 459 | 384 |
| 4 | 999 | 384 |
| 5 | 1484 | 384 |
| 6 | 2772 | 350 |
| 7 | 6165 | 350 |
| 8 | 7785 | 350 |
| 0 | 8131 | 348 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
#s(literal 2/7 binary64) |
(*.f64 x x) |
x |
#s(literal 2/5 binary64) |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
#s(literal 2/7 binary64) |
(*.f64 x x) |
x |
#s(literal 2/5 binary64) |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.0078125 | (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) | |
| accuracy | 0.26512639873405786 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.39032602812624645 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.5273780743904761 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.8246024240749189 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
| 126.0ms | 256× | 0 | valid |
Compiled 356 to 40 computations (88.8% saved)
ival-mult: 38.0ms (35.4% of total)const: 31.0ms (28.9% of total)ival-add: 28.0ms (26.1% of total)ival-div: 3.0ms (2.8% of total)ival-log1p: 3.0ms (2.8% of total)ival-sub: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% 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 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (patch (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (patch (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1)) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1) (* 2 (/ x (+ (* (neg x) x) 1))) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (log (+ 1 (+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1)))) (/ x (+ (* (neg x) x) 1)) (neg x) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3)) |
| 3.0ms | x | @ | inf | ((+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1)) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1) (* 2 (/ x (+ (* (neg x) x) 1))) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (log (+ 1 (+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1)))) (/ x (+ (* (neg x) x) 1)) (neg x) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3)) |
| 3.0ms | x | @ | -inf | ((+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1)) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1) (* 2 (/ x (+ (* (neg x) x) 1))) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (log (+ 1 (+ (* (* 2 (/ x (+ (* (neg x) x) 1))) x) (* (* 2 (/ x (+ (* (neg x) x) 1))) 1)))) (/ x (+ (* (neg x) x) 1)) (neg x) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3)) |
| 1× | egg-herbie |
| 11 598× | lower-fma.f64 |
| 11 598× | lower-fma.f32 |
| 4 382× | lower-*.f64 |
| 4 382× | lower-*.f32 |
| 2 898× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 3016 |
| 1 | 729 | 2963 |
| 2 | 1975 | 2904 |
| 3 | 5916 | 2874 |
| 0 | 8296 | 2695 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 2 x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* 2/3 (pow x 2))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
x |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
2/5 |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/5 (* 2/7 (pow x 2))) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 4)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 4)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f64 (fma.f64 (hypot.f64 (*.f64 x x) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f64 (fma.f64 (hypot.f64 (*.f64 x x) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (pow x 2))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f64 (hypot.f64 (*.f64 x x) x) x x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
2/5 |
#s(literal 2/5 binary64) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
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(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(* 2/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(* 2/5 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) x) x) #s(literal -2/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) x) x) #s(literal -2/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* 2/5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/5 binary64)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(* 2/7 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) x) x) #s(literal -2/7 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* 2/7 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/7 binary64)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal 2/5 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) #s(literal 2 binary64)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 2/5 (pow x 2)) |
(*.f64 #s(literal 2/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(* 2/7 (pow x 2)) |
(*.f64 #s(literal 2/7 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(* 2/7 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/7 binary64)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 2/5 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 2/5 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
| 5 236× | lower-*.f32 |
| 5 212× | lower-*.f64 |
| 4 234× | lower-/.f32 |
| 4 232× | lower-/.f64 |
| 3 806× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 380 |
| 0 | 71 | 351 |
| 1 | 276 | 317 |
| 2 | 2082 | 317 |
| 0 | 8629 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(neg.f64 x) |
(*.f64 x x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) x) (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 x (pow.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x #s(literal 2/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) #s(literal 2/3 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x)) |
Compiled 22 689 to 3 219 computations (85.8% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 3 | 953 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 952 | 9 | 961 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) |
| ▶ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 98.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
Compiled 132 to 98 computations (25.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 704 | (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) |
| 13 648× | lower-fma.f32 |
| 13 640× | lower-fma.f64 |
| 2 564× | lower-*.f32 |
| 2 538× | lower-*.f64 |
| 1 730× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 341 |
| 0 | 78 | 341 |
| 1 | 134 | 335 |
| 2 | 229 | 335 |
| 3 | 383 | 335 |
| 4 | 549 | 335 |
| 5 | 820 | 335 |
| 6 | 1742 | 309 |
| 7 | 5392 | 309 |
| 8 | 7713 | 309 |
| 0 | 8054 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(literal 1/2 binary64) |
(log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
#s(literal 1/2 binary64) |
(-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) |
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) |
#s(literal -4 binary64) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -2 binary64) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log1p.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64))))) |
#s(literal 1/2 binary64) |
(-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64))) (log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -2 binary64) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.02734375 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.029628759768442016 | (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) | |
| accuracy | 0.26400375976844204 | (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) | |
| accuracy | 0.28515625 | (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) | |
| accuracy | 0.39032602812624645 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.5273780743904761 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) |
| 87.0ms | 256× | 0 | valid |
Compiled 316 to 44 computations (86.1% saved)
ival-mult: 37.0ms (54.1% of total)ival-div: 7.0ms (10.2% of total)ival-log1p: 6.0ms (8.8% of total)const: 6.0ms (8.8% of total)ival-add: 5.0ms (7.3% of total)ival-pow: 4.0ms (5.8% of total)ival-sub: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) (patch (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) (patch (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) #<representation:binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (patch (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) (patch (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (patch (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (* (* (* x x) 2/3) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (* x x) 2/3) (+ (* (* (* (+ (* 2/5 (* x x)) 2/3) x) x) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (* (+ (* 2/5 (* x x)) 2/3) x) x) (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x))) (* 2 (+ 1 x)) (* 1/2 (log (+ 1 (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x)))))) (log (+ 1 (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x))))) (* 1/2 (- (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (* -4 (pow (/ (- 1 x) x) -2)) (* x 2) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* 2/5 (* x x)) 2/3) (/ x (+ (* (neg x) x) 1)) (neg x) (pow (/ (- 1 x) x) -2) (/ x (- 1 x)) (log (+ 1 (* -2 (/ x (- 1 x)))))) |
| 5.0ms | x | @ | 0 | ((+ (* (* (* x x) 2/3) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (* x x) 2/3) (+ (* (* (* (+ (* 2/5 (* x x)) 2/3) x) x) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (* (+ (* 2/5 (* x x)) 2/3) x) x) (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x))) (* 2 (+ 1 x)) (* 1/2 (log (+ 1 (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x)))))) (log (+ 1 (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x))))) (* 1/2 (- (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (* -4 (pow (/ (- 1 x) x) -2)) (* x 2) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* 2/5 (* x x)) 2/3) (/ x (+ (* (neg x) x) 1)) (neg x) (pow (/ (- 1 x) x) -2) (/ x (- 1 x)) (log (+ 1 (* -2 (/ x (- 1 x)))))) |
| 4.0ms | x | @ | inf | ((+ (* (* (* x x) 2/3) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (* x x) 2/3) (+ (* (* (* (+ (* 2/5 (* x x)) 2/3) x) x) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (* (+ (* 2/5 (* x x)) 2/3) x) x) (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x))) (* 2 (+ 1 x)) (* 1/2 (log (+ 1 (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x)))))) (log (+ 1 (* (/ x (+ (* (neg x) x) 1)) (* 2 (+ 1 x))))) (* 1/2 (- (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -4 (pow (/ (- 1 x) x) -2)))) (* -4 (pow (/ (- 1 x) x) -2)) (* x 2) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* 2/5 (* x x)) 2/3) (/ x (+ (* (neg x) x) 1)) (neg x) (pow (/ (- 1 x) x) -2) (/ x (- 1 x)) (log (+ 1 (* -2 (/ x (- 1 x)))))) |
| 1× | egg-herbie |
| 10 496× | lower-fma.f64 |
| 10 496× | lower-fma.f32 |
| 4 226× | lower-+.f64 |
| 4 226× | lower-+.f32 |
| 3 662× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 2590 |
| 1 | 989 | 2535 |
| 2 | 2437 | 2499 |
| 3 | 5638 | 2490 |
| 0 | 8284 | 2339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
x |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 x))) |
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x))))) |
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x))))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* -2 x) |
(* x (- (* -4 x) 2)) |
(* x (- (* x (- (* -26/3 x) 4)) 2)) |
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2)) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 1/2 (- (log -3) (log 3))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(- (log -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2/5 (pow x 3)) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3)))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/3 (pow x 2)) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 1/2 (- (log -3) (log 3))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3)))) |
(- (log -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2/5 (pow x 3)) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) |
| Outputs |
|---|
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
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(+ 1 (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) |
(log 3) |
(log.f64 #s(literal 3 binary64)) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (log.f64 #s(literal 3 binary64))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))) (log.f64 #s(literal 3 binary64))) |
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) |
(-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26/81 binary64) x) #s(literal 4/9 binary64)) x)) x)) |
| 4 948× | lower-*.f32 |
| 4 922× | lower-*.f64 |
| 3 820× | lower-fma.f32 |
| 3 812× | lower-fma.f64 |
| 3 796× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 291 |
| 0 | 78 | 297 |
| 1 | 279 | 259 |
| 2 | 2138 | 259 |
| 0 | 9075 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) |
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(neg.f64 x) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8/27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))))) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8/27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8/27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8/27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8/27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8/27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(fma.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) |
(/.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/9 binary64)) (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal -2/3 binary64))) |
(/.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) |
(/.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))) (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)))) |
(fma.f64 (*.f64 #s(literal 2/5 binary64) x) x #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) |
(fma.f64 x (*.f64 #s(literal 2/5 binary64) x) #s(literal 2/3 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal -2/3 binary64)))) |
(+.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 x (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (/.f64 x (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) |
(exp.f64 (+.f64 (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (*.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) |
(log1p.f64 (*.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(log1p.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log1p.f64 (*.f64 (neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(log1p.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (log1p.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (log1p.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))))) (log.f64 (neg.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (log.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (log1p.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))) |
(+.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) |
Compiled 14 466 to 2 272 computations (84.3% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 660 | 2 | 662 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 5 | 5 |
| Total | 662 | 9 | 671 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
| ▶ | 8.9% | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 98.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
Compiled 132 to 96 computations (27.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) | |
| cost-diff | 704 | (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
| 12 796× | lower-fma.f32 |
| 12 788× | lower-fma.f64 |
| 3 054× | lower-*.f32 |
| 3 048× | lower-*.f64 |
| 1 348× | lower--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 166 |
| 0 | 43 | 166 |
| 1 | 70 | 166 |
| 2 | 99 | 166 |
| 3 | 162 | 166 |
| 4 | 229 | 166 |
| 5 | 315 | 166 |
| 6 | 910 | 151 |
| 7 | 4051 | 151 |
| 8 | 6524 | 151 |
| 0 | 8251 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -2 binary64) |
#s(literal -4 binary64) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
#s(literal 1/2 binary64) |
(log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -2 binary64) |
#s(literal -4 binary64) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.02734375 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.26400375976844204 | (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) | |
| accuracy | 58.261618555370575 | (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
| 157.0ms | 147× | 1 | valid |
| 132.0ms | 98× | 2 | valid |
| 13.0ms | 11× | 0 | valid |
Compiled 189 to 28 computations (85.2% saved)
ival-mult: 77.0ms (27.7% of total)ival-add: 63.0ms (22.7% of total)adjust: 34.0ms (12.2% of total)ival-log: 30.0ms (10.8% of total)ival-div: 28.0ms (10.1% of total)ival-log1p: 21.0ms (7.6% of total)ival-pow: 19.0ms (6.8% of total)ival-sub: 4.0ms (1.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ()) |
#s(alt (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) #<representation:binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* 1/2 (log (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1)))) (log (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1))) (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1)) (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1))) (* 1/2 (log (+ 1 (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1)))))) (log (+ 1 (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1))))) (+ (* 2 x) 2) (pow (/ (- 1 x) x) -2) (/ x (- 1 x)) (/ (- 1 x) x) (/ x (+ (* (neg x) x) 1)) (neg x)) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1)))) (log (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1))) (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1)) (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1))) (* 1/2 (log (+ 1 (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1)))))) (log (+ 1 (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1))))) (+ (* 2 x) 2) (pow (/ (- 1 x) x) -2) (/ x (- 1 x)) (/ (- 1 x) x) (/ x (+ (* (neg x) x) 1)) (neg x)) |
| 1.0ms | x | @ | inf | ((* 1/2 (log (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1)))) (log (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1))) (/ (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (+ (* (/ x (- 1 x)) -2) 1)) (+ (* (pow (/ (- 1 x) x) -2) -4) 1) (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1))) (* 1/2 (log (+ 1 (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1)))))) (log (+ 1 (* (+ (* 2 x) 2) (/ x (+ (* (neg x) x) 1))))) (+ (* 2 x) 2) (pow (/ (- 1 x) x) -2) (/ x (- 1 x)) (/ (- 1 x) x) (/ x (+ (* (neg x) x) 1)) (neg x)) |
| 1× | egg-herbie |
| 13 684× | lower-fma.f64 |
| 13 684× | lower-fma.f32 |
| 3 886× | lower-*.f64 |
| 3 886× | lower-*.f32 |
| 3 742× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 1307 |
| 1 | 698 | 1254 |
| 2 | 1762 | 1225 |
| 3 | 4745 | 1206 |
| 0 | 8101 | 1133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
1 |
(+ 1 (* -4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -8 x) 4))) |
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 x))) |
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x))))) |
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x))))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
x |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-3 |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
-3 |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (pow x 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -8 x) 4))) |
(fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12 binary64) x #s(literal -8 binary64)) x #s(literal -4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 3 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
x |
(* x (+ 1 (pow x 2))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f64 (hypot.f64 (*.f64 x x) x) x x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x (pow.f64 x #s(literal 5 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 8 binary64) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) x)) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal 12 binary64)) x) #s(literal 8 binary64)) #s(literal -3 binary64)) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 8 binary64) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) x)) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) x)) x) #s(literal 8 binary64)) x) #s(literal 3 binary64)) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 6 630× | lower-fma.f32 |
| 6 622× | lower-fma.f64 |
| 4 158× | lower-/.f32 |
| 4 150× | lower-/.f64 |
| 3 784× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 141 |
| 0 | 43 | 141 |
| 1 | 166 | 141 |
| 2 | 1275 | 108 |
| 0 | 8611 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(log1p.f64 (*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) x)))) |
(log1p.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(log1p.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))) |
(log1p.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))) (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))))) (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) (+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))))) (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))) (+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) |
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 x (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) x) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (fma.f64 x x x)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) x)) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) |
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 19 329 to 3 310 computations (82.9% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 706 | 1 | 707 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 7 | 7 |
| Total | 707 | 9 | 716 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
| 8.9% | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) | |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 98.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
Compiled 363 to 178 computations (51% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
4 calls:
| 7.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 4.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
4 calls:
| 5.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
4 calls:
| 5.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 3.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
4 calls:
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 3.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.6% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.6% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
4 calls:
| 6.0ms | x |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.4% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.4% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
4 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.4% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.4% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
4 calls:
| 4.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.2% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.2% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
4 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | x |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.2% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.2% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
4 calls:
| 3.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 98.7% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 98.7% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 26 to 23 computations (11.5% saved)
| 1× | egg-herbie |
| 40× | *-commutative-binary64-*.f64 |
| 4× | +-commutative-binary64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | *-rgt-identity-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 193 |
| 1 | 85 | 193 |
| 2 | 88 | 193 |
| 3 | 89 | 193 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) x (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 5 236× | lower-*.f32 |
| 5 212× | lower-*.f64 |
| 4 948× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 358 |
| 0 | 43 | 291 |
| 0 | 78 | 297 |
| 1 | 279 | 259 |
| 2 | 2138 | 259 |
| 0 | 9075 | 252 |
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 54 | 28 |
| 2 | 404 | 28 |
| 3 | 5595 | 28 |
| 0 | 8636 | 28 |
| 0 | 39 | 380 |
| 0 | 71 | 351 |
| 1 | 276 | 317 |
| 2 | 2082 | 317 |
| 0 | 8629 | 317 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 343 to 177 computations (48.4% saved)
Compiled 286 to 118 computations (58.7% saved)
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