Rust f64::atanh
Time bar (total: 5.4s)
| 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)
| 209.0ms | 8 256× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
ival-atanh: 72.0ms (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 |
| 29.0ms | 512× | 0 | valid |
Compiled 93 to 31 computations (66.7% saved)
ival-mult: 6.0ms (35.1% of total)ival-sub: 3.0ms (17.5% of total)ival-div: 3.0ms (17.5% of total)ival-log1p: 3.0ms (17.5% of total)exact: 1.0ms (5.8% of total)ival-true: 0.0ms (0% 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 11 to 9 computations (18.2% saved)
Compiled 1 to 1 computations (0% 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 11 to 9 computations (18.2% 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 | 0.015625 | (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)) |
| 15.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-log1p: 3.0ms (31.9% of total)ival-mult: 3.0ms (31.9% of total)ival-div: 2.0ms (21.3% of total)ival-sub: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 3.0ms | 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 | @ | -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)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 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 x x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 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) (*.f64 (*.f64 x x) x)) (/.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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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) (*.f64 (*.f64 x x) x)) (/.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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) x))) (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 #s(literal 1 binary64) (*.f64 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) (*.f64 (*.f64 x x) x)) (/.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))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #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) (*.f64 (*.f64 x x) x)) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (*.f64 x x))) 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 #s(literal 1 binary64) (*.f64 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 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #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))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 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))) (log.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.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 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #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 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #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 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 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 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 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 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #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)))))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #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 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(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 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))) |
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(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) (*.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x 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)))) #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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 x x x)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 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 5 051 to 802 computations (84.1% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 6 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 203 | 7 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #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)))) |
| 9.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) | |
| ▶ | 98.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 99.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ▶ | 99.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ▶ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
Compiled 171 to 107 computations (37.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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 2 binary64) (fma.f64 x x x)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| cost-diff | 704 | (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
| 12 598× | lower-fma.f32 |
| 12 582× | lower-fma.f64 |
| 3 536× | lower-*.f32 |
| 3 520× | lower-*.f64 |
| 1 478× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 291 |
| 0 | 63 | 291 |
| 1 | 118 | 291 |
| 2 | 199 | 291 |
| 3 | 392 | 285 |
| 4 | 928 | 285 |
| 5 | 1579 | 285 |
| 6 | 2584 | 260 |
| 7 | 5879 | 260 |
| 0 | 8023 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 x x x)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 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))) |
#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 |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/5 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (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)) (*.f64 x x) #s(literal 1 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)) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
#s(literal 1/7 binary64) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #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 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 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 |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/5 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (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)) (*.f64 x x) #s(literal 1 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)) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
#s(literal 1/7 binary64) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (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)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) | |
| accuracy | 0.3894215453147427 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) | |
| accuracy | 0.4456714932744507 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) | |
| accuracy | 0.5707731132101241 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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 | 1.1418324898755958 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
| 398.0ms | 256× | 0 | valid |
Compiled 272 to 38 computations (86% saved)
ival-add: 62.0ms (42.9% of total)ival-mult: 48.0ms (33.2% of total)const: 25.0ms (17.3% of total)ival-div: 3.0ms (2.1% of total)ival-log1p: 3.0ms (2.1% of total)ival-sub: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (patch (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) #<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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x 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 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #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 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #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 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #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 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<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) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 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 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (patch (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (patch (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (patch (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (patch (*.f64 #s(literal 2 binary64) (fma.f64 x x 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 #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1)) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1))))) (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1)))) (* 2 (+ (* x x) x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (neg x) (+ (* 1/7 (* x x)) 1/5)) |
| 3.0ms | x | @ | 0 | ((/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1)) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1))))) (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1)))) (* 2 (+ (* x x) x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (neg x) (+ (* 1/7 (* x x)) 1/5)) |
| 3.0ms | x | @ | inf | ((/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1)) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1))))) (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* (neg x) x) 1)))) (* 2 (+ (* x x) x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (neg x) (+ (* 1/7 (* x x)) 1/5)) |
| 1× | egg-herbie |
| 10 182× | lower-fma.f64 |
| 10 182× | lower-fma.f32 |
| 5 194× | lower-*.f64 |
| 5 194× | lower-*.f32 |
| 2 210× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2250 |
| 1 | 536 | 2178 |
| 2 | 1396 | 2153 |
| 3 | 6182 | 2148 |
| 0 | 8473 | 1979 |
| 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))))))) |
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 (* 2 x))) |
(* 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 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)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* 1/3 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 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 (* 1/5 (pow x 2)))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (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)))))))) |
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)))))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1/5 |
(+ 1/5 (* 1/7 (pow x 2))) |
(+ 1/5 (* 1/7 (pow x 2))) |
(+ 1/5 (* 1/7 (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)))) |
(* 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 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 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) |
(* 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)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 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)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/7 (pow x 2)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 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) |
(* 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 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 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 (/ (- (* -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))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 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))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/7 (pow x 2)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 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 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 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 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 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)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
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(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/7 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/7 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/7 (pow x 2)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 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 -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #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 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #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) (*.f64 (*.f64 x x) x)) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x))) x)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 2 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 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #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) (*.f64 (*.f64 x x) x)) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x))) 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)) |
(* 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 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(* 1/3 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.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 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(* 1/5 (pow x 5)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/5 binary64)) x) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1/5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1/5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* 1/5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/5 binary64)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 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 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(* 1/7 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7 binary64)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal -1/7 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/7 (pow x 6)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/7 binary64)) x) x) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) x) (*.f64 (*.f64 x x) x)) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/7 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/7 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/7 (pow x 4)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/7 binary64)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) x) x) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/7 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/7 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/7 (pow x 2)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
| 6 038× | lower-fma.f32 |
| 6 022× | lower-fma.f64 |
| 4 888× | lower-*.f32 |
| 4 872× | lower-*.f64 |
| 4 618× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 257 |
| 0 | 63 | 257 |
| 1 | 253 | 257 |
| 2 | 1951 | 257 |
| 0 | 9145 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x 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) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 x x x)) |
(*.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) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (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)) (*.f64 x x) #s(literal 1 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)) |
(neg.f64 x) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))) |
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(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (neg.f64 x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.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 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))) (*.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (*.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(/.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64))) (neg.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64))) (neg.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)) (+.f64 #s(literal 1/25 binary64) (-.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/35 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/7 binary64) x) x #s(literal 1/5 binary64)) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/7 binary64) x) #s(literal 1/5 binary64)) |
(-.f64 (/.f64 #s(literal 1/25 binary64) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(+.f64 (*.f64 #s(literal 1/7 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) |
(+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x))) |
Compiled 18 247 to 1 683 computations (90.8% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 714 | 5 | 719 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 718 | 8 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| 10.3% | (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x)) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 8 binary64))) (log.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))))) | |
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #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)))) |
| ▶ | 9.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
| ▶ | 99.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
| ▶ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
| ✓ | 99.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ▶ | 98.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
Compiled 312 to 145 computations (53.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) | |
| cost-diff | 64 | (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (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) | |
| cost-diff | 0 | (*.f64 (*.f64 (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) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (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 x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 704 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
| 13 518× | lower-fma.f32 |
| 13 504× | lower-fma.f64 |
| 3 516× | lower-*.f32 |
| 3 502× | lower-*.f64 |
| 1 700× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 327 |
| 0 | 77 | 333 |
| 1 | 133 | 333 |
| 2 | 207 | 329 |
| 3 | 395 | 329 |
| 4 | 812 | 329 |
| 5 | 1531 | 326 |
| 6 | 2559 | 293 |
| 7 | 5036 | 293 |
| 0 | 8049 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 x #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
(fma.f64 (*.f64 (*.f64 (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 x) |
(*.f64 (*.f64 (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) |
(*.f64 (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) |
(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)) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
#s(literal 1/7 binary64) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.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 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
(fma.f64 (*.f64 (*.f64 (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 x) |
(*.f64 (*.f64 (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) |
(*.f64 (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) |
(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)) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
#s(literal 1/7 binary64) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
(*.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) |
(log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) | |
| accuracy | 0.010097509768442016 | (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 57.722637094562124 | (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 (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) | |
| accuracy | 0.3515625 | (*.f64 (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) | |
| accuracy | 0.3894215453147427 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) | |
| accuracy | 0 | (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) | |
| accuracy | 0.5707731132101241 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) | |
| accuracy | 0.3894215453147427 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) | |
| accuracy | 1.1239790380338641 | #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
| 94.0ms | 256× | 0 | valid |
Compiled 305 to 45 computations (85.2% saved)
ival-mult: 27.0ms (35.2% of total)ival-sub: 19.0ms (24.8% of total)ival-add: 9.0ms (11.7% of total)const: 8.0ms (10.4% of total)ival-div: 7.0ms (9.1% of total)ival-log1p: 5.0ms (6.5% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (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 x) (patch (fma.f64 (*.f64 (*.f64 (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 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (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) (patch (*.f64 (*.f64 (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) #<representation binary64>) () ()) |
#s(alt (*.f64 (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) (patch (*.f64 (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) #<representation binary64>) () ()) |
#s(alt (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 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 (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) #<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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) #<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) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) #<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) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | -inf | ((/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1)) (+ (* (* x x) 2) (* x 2)) (* 1/2 (log (+ 1 (/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1))))) (log (+ 1 (/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1)))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) (log (+ (* (/ -2 (- x 1)) x) 1)) (* 1/2 (log (+ (* (/ -2 (- x 1)) x) 1))) (+ (* (/ -2 (- x 1)) x) 1) (/ -2 (- x 1)) (neg x) (+ (* 1/7 (* x x)) 1/5)) |
| 3.0ms | x | @ | inf | ((/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1)) (+ (* (* x x) 2) (* x 2)) (* 1/2 (log (+ 1 (/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1))))) (log (+ 1 (/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1)))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) (log (+ (* (/ -2 (- x 1)) x) 1)) (* 1/2 (log (+ (* (/ -2 (- x 1)) x) 1))) (+ (* (/ -2 (- x 1)) x) 1) (/ -2 (- x 1)) (neg x) (+ (* 1/7 (* x x)) 1/5)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1)) (+ (* (* x x) 2) (* x 2)) (* 1/2 (log (+ 1 (/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1))))) (log (+ 1 (/ (+ (* (* x x) 2) (* x 2)) (+ (* (neg x) x) 1)))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) (log (+ (* (/ -2 (- x 1)) x) 1)) (* 1/2 (log (+ (* (/ -2 (- x 1)) x) 1))) (+ (* (/ -2 (- x 1)) x) 1) (/ -2 (- x 1)) (neg x) (+ (* 1/7 (* x x)) 1/5)) |
| 1× | egg-herbie |
| 16 044× | lower-fma.f64 |
| 16 044× | lower-fma.f32 |
| 4 198× | lower-*.f64 |
| 4 198× | lower-*.f32 |
| 3 072× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 2392 |
| 1 | 535 | 2295 |
| 2 | 1410 | 2268 |
| 3 | 3860 | 2262 |
| 0 | 8047 | 2118 |
| 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 x))) |
(* x (+ 2 (* 2 x))) |
(* 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)))))))) |
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)))))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 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)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 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)))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* x (+ 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)))))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1/5 |
(+ 1/5 (* 1/7 (pow x 2))) |
(+ 1/5 (* 1/7 (pow x 2))) |
(+ 1/5 (* 1/7 (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 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 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)))))) |
(* 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)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 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)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(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 -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 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/7 (pow x 2)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 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 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 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 (/ (- (* -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 -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))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 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))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(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 -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 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/7 (pow x 2)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 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 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 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) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 (*.f64 (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) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 (*.f64 (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) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 (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 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 (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) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
1/5 |
#s(literal 1/5 binary64) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 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 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 2 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) (*.f64 (*.f64 x x) x)) (/.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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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) (*.f64 (*.f64 x x) x)) (/.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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) x))) (log.f64 #s(literal -1 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) (*.f64 (*.f64 x x) x)) (/.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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(* 1/7 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7 binary64)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/7 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/7 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/7 binary64)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64))) #s(literal 1 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) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal -1/7 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal -1/7 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) 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) (*.f64 (*.f64 x x) x)) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x)) #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) (*.f64 (*.f64 x x) x)) (/.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))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1 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)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/7 (pow x 2)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
| 5 562× | lower-*.f32 |
| 5 546× | lower-*.f64 |
| 4 462× | lower-fma.f32 |
| 4 448× | lower-fma.f64 |
| 3 774× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 283 |
| 0 | 77 | 279 |
| 1 | 290 | 272 |
| 2 | 2169 | 272 |
| 0 | 8396 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
(fma.f64 (*.f64 (*.f64 (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 x) |
(*.f64 (*.f64 (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) |
(*.f64 (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) |
(log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x x))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 x x x))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x 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)) (*.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (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)) (*.f64 (fma.f64 x x x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x x) #s(literal 2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 x x x)) |
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)) (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x)) (*.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x))) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) |
(fma.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 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #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 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.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 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))) (*.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (*.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(/.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64))) (neg.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64))) (neg.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)) (+.f64 #s(literal 1/25 binary64) (-.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/35 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/25 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (*.f64 #s(literal 1/343 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/125 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/7 binary64) x) x #s(literal 1/5 binary64)) |
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/7 binary64) x) #s(literal 1/5 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/49 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64)))) |
(+.f64 (*.f64 #s(literal 1/7 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) |
(+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/7 binary64) (*.f64 x x))) |
Compiled 14 059 to 1 482 computations (89.5% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 1 | 614 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 614 | 8 | 622 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #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)))) |
| ▶ | 9.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
| ✓ | 9.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
| ✓ | 99.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
| ✓ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
| ✓ | 99.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ✓ | 98.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
Compiled 114 to 70 computations (38.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) | |
| cost-diff | 64 | (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| cost-diff | 128 | (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
| 1 698× | lower-fma.f32 |
| 1 692× | lower-fma.f64 |
| 638× | lower-*.f32 |
| 632× | lower-*.f64 |
| 334× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 94 |
| 0 | 25 | 94 |
| 1 | 47 | 89 |
| 2 | 125 | 89 |
| 3 | 377 | 89 |
| 4 | 674 | 89 |
| 5 | 886 | 89 |
| 6 | 1036 | 89 |
| 7 | 1050 | 89 |
| 8 | 1050 | 89 |
| 0 | 1050 | 84 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(fma.f64 (*.f64 x x) x #s(literal -1 binary64)) |
(*.f64 x x) |
#s(literal -1 binary64) |
(fma.f64 x x (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x x) x x))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x x) x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x x) x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
(fma.f64 (*.f64 x x) x #s(literal -1 binary64)) |
(*.f64 x x) |
#s(literal -1 binary64) |
(fma.f64 x x (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0078125 | (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) | |
| accuracy | 57.722637094562124 | (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 33.0ms | 256× | 0 | valid |
Compiled 108 to 18 computations (83.3% saved)
ival-mult: 9.0ms (50.4% of total)ival-add: 4.0ms (22.4% of total)ival-div: 2.0ms (11.2% of total)ival-log1p: 2.0ms (11.2% 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 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 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 (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #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 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #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 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #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 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 3)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 x))) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 x))) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log -1) (taylor inf x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<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 (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<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) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<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) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<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 (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<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) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<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) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1) (log (+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1)) (* 1/2 (log (+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1))) (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) |
| 1.0ms | x | @ | inf | ((+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1) (log (+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1)) (* 1/2 (log (+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1))) (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) |
| 1.0ms | x | @ | 0 | ((+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1) (log (+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1)) (* 1/2 (log (+ (* (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) 1))) (/ (* -2 x) (+ (* (* x x) x) -1)) (+ (* x x) (+ 1 x))) |
| 1× | egg-herbie |
| 16 586× | lower-fma.f64 |
| 16 586× | lower-fma.f32 |
| 4 144× | lower-*.f64 |
| 4 144× | lower-*.f32 |
| 2 958× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 596 |
| 1 | 439 | 582 |
| 2 | 1207 | 556 |
| 3 | 3569 | 544 |
| 4 | 7073 | 544 |
| 0 | 8111 | 511 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(* 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 (pow x 3)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 x))) |
-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)))) |
(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 -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)))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 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 -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))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 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 (* (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 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (pow x 3)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #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)) |
(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) (*.f64 (*.f64 x x) x)) (/.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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) x))) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (/.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 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #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)) (/ 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)) |
(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) (*.f64 (*.f64 x x) x)) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) x)) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (/.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))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
| 7 092× | lower-fma.f32 |
| 7 086× | lower-fma.f64 |
| 4 310× | lower-/.f32 |
| 4 308× | lower-/.f64 |
| 4 206× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 74 |
| 0 | 25 | 70 |
| 1 | 102 | 70 |
| 2 | 939 | 52 |
| 0 | 8665 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) |
(fma.f64 x x (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
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(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (fma.f64 x x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (fma.f64 x x x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (fma.f64 x x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 x (fma.f64 x x #s(literal 1 binary64))) |
Compiled 11 978 to 1 419 computations (88.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 0 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 313 | 8 | 321 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #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)))) |
| ✓ | 9.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
| ✓ | 9.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
| ✓ | 99.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
| ✓ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
| ✓ | 99.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ✓ | 98.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
Compiled 346 to 144 computations (58.4% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 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) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x)) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 8 binary64))) (log.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
4 calls:
| 92.0ms | (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 | (/.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 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 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) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
4 calls:
| 3.0ms | (/.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 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 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) (log.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #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)))) |
4 calls:
| 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 | (/.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 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
4 calls:
| 19.0ms | 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 | (/.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 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 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 | (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 |
|---|---|---|
| 99.4% | 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 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 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 | (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 |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.3% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.3% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
4 calls:
| 24.0ms | (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 |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.1% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.1% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
4 calls:
| 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)) |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.1% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.1% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
4 calls:
| 2.0ms | (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)))) |
| 1.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 98.2% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 98.2% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 208 |
| 1 | 79 | 208 |
| 2 | 82 | 208 |
| 3 | 83 | 208 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x 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)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 x x x) #s(literal 2 binary64)) (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 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 (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 x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)) |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 10 182× | lower-fma.f64 |
| 10 182× | lower-fma.f32 |
| 6 038× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 257 |
| 0 | 63 | 257 |
| 1 | 253 | 257 |
| 2 | 1951 | 257 |
| 0 | 9145 | 247 |
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 54 | 28 |
| 2 | 404 | 28 |
| 3 | 5595 | 28 |
| 0 | 8636 | 28 |
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 358 |
| 0 | 166 | 2250 |
| 1 | 536 | 2178 |
| 2 | 1396 | 2153 |
| 3 | 6182 | 2148 |
| 0 | 8473 | 1979 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 344 to 162 computations (52.9% saved)
Compiled 258 to 96 computations (62.8% saved)
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