
Time bar (total: 3.7s)
| 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)
| 372.0ms | 8 256× | 0 | valid |
| 0.0ms | 8× | 0 | invalid |
ival-atanh: 218.0ms (96% of total)ival-true: 6.0ms (2.6% of total)ival-assert: 3.0ms (1.3% 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 |
| 138.0ms | 512× | 0 | valid |
Compiled 93 to 31 computations (66.7% saved)
ival-mult: 63.0ms (85.6% of total)ival-sub: 3.0ms (4.1% of total)ival-div: 3.0ms (4.1% of total)ival-log1p: 3.0ms (4.1% of total)exact: 1.0ms (1.4% 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)))) |
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)))) |
#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) |
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 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0234375 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 21.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-mult: 3.0ms (35.8% of total)ival-div: 2.0ms (23.9% of total)ival-log1p: 2.0ms (23.9% of total)ival-sub: 1.0ms (11.9% 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 (* 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 (* 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 (* 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 (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 (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 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 (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 (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 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 (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 0.0ms | x | @ | inf | (* 2 x) |
| 0.0ms | x | @ | -inf | (* 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 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 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)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 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)))))))) |
(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)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
-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) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 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 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (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)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 x))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x (*.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 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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)) |
(* 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)) |
(* 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)) |
| 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 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))) |
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(+.f64 (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (log1p.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))))) |
(+.f64 (log.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(+.f64 (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))) (log1p.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.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 #s(literal -2 binary64) (neg.f64 x)) |
Compiled 5 051 to 806 computations (84% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 205 | 4 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 205 | 5 | 210 |
| 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)))) |
| ▶ | 99.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
| ▶ | 99.7% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 99.8% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 99.6% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
Compiled 63 to 37 computations (41.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
| 9 992× | lower-fma.f32 |
| 9 980× | lower-fma.f64 |
| 2 800× | lower-*.f32 |
| 2 788× | lower-*.f64 |
| 1 530× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 220 |
| 0 | 47 | 202 |
| 1 | 89 | 202 |
| 2 | 164 | 202 |
| 3 | 333 | 202 |
| 4 | 638 | 202 |
| 5 | 981 | 202 |
| 6 | 1064 | 202 |
| 7 | 1533 | 202 |
| 8 | 2202 | 202 |
| 9 | 3186 | 202 |
| 10 | 3991 | 202 |
| 11 | 5485 | 202 |
| 12 | 6450 | 202 |
| 13 | 7425 | 202 |
| 14 | 7521 | 202 |
| 15 | 7544 | 202 |
| 16 | 7598 | 202 |
| 17 | 7602 | 202 |
| 18 | 7602 | 202 |
| 19 | 7602 | 202 |
| 20 | 7791 | 202 |
| 21 | 7886 | 202 |
| 22 | 7886 | 202 |
| 23 | 7886 | 202 |
| 24 | 7886 | 202 |
| 25 | 7886 | 202 |
| 26 | 7886 | 202 |
| 27 | 7932 | 202 |
| 0 | 8004 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) |
(*.f64 x #s(literal 1/7 binary64)) |
#s(literal 1/7 binary64) |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) |
(*.f64 x #s(literal 1/7 binary64)) |
#s(literal 1/7 binary64) |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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 x #s(literal 2 binary64))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0.6015902181272179 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1732299177919184 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.12845917434213627 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.31640625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) | |
| accuracy | 0.39453125 | (*.f64 x #s(literal 1/7 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.2524201517412354 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
| 77.0ms | 256× | 0 | valid |
Compiled 183 to 31 computations (83.1% saved)
ival-log1p: 22.0ms (35.5% of total)ival-mult: 21.0ms (33.9% of total)const: 9.0ms (14.5% of total)ival-add: 6.0ms (9.7% of total)ival-div: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% 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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.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 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) 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))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) 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))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) 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))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log -1) (taylor inf x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log -1) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/7 binary64)) (patch (*.f64 x #s(literal 1/7 binary64)) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+ (* 1/3 (* x (* x x))) x) |
| 1.0ms | x | @ | inf | (+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | egg-herbie |
| 12 748× | lower-fma.f64 |
| 12 748× | lower-fma.f32 |
| 4 434× | lower-*.f64 |
| 4 434× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1514 |
| 1 | 423 | 1455 |
| 2 | 1118 | 1445 |
| 3 | 3095 | 1442 |
| 4 | 6278 | 1442 |
| 0 | 8156 | 1335 |
| 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)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
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 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 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)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
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)))))))) |
(* 1/7 (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 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))))))) |
1/3 |
(+ 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))))) |
(* 1/7 (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)))))) |
(* 1/7 (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)))))) |
(* 1/5 x) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (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)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
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)))))) |
(* 1/5 (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 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))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 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))))) |
(* 1/5 (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))))) |
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)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 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)))))))) |
(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)))))) |
(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) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(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)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))) x) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* 1/7 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* 1/7 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* 1/7 (pow x 3)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* 1/7 (pow x 3)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/5 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/5 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x))) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 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 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
| 5 616× | lower-fma.f32 |
| 5 604× | lower-fma.f64 |
| 3 992× | lower-/.f64 |
| 3 992× | lower-/.f32 |
| 3 848× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 186 |
| 0 | 47 | 172 |
| 1 | 185 | 172 |
| 2 | 1387 | 172 |
| 0 | 8405 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/7 binary64)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(+.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x) |
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -1/3 binary64))))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 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 #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 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal 1/7 binary64)) |
(*.f64 #s(literal 1/7 binary64) x) |
Compiled 15 728 to 981 computations (93.8% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 560 | 0 | 560 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 560 | 5 | 565 |
| 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)))) |
| ✓ | 99.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
| ✓ | 99.7% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 99.8% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 99.6% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
Compiled 122 to 61 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
4 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
4 calls:
| 4.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.8% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) 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)))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.7% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.7% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
4 calls:
| 3.0ms | (*.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))) |
| 1.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.6% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.6% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
4 calls:
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (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 |
|---|---|---|
| 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)
| 1× | egg-herbie |
| 14× | *-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 | 34 | 104 |
| 1 | 45 | 104 |
| 2 | 49 | 104 |
| 3 | 51 | 104 |
| 4 | 52 | 104 |
| 1× | saturated |
| Inputs |
|---|
(*.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 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.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 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| 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 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 89 to 41 computations (53.9% saved)
Compiled 140 to 64 computations (54.3% saved)
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