
Time bar (total: 7.1s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 1.1s | 8 256× | 0 | valid |
const: 457.0ms (52% of total)ival-mult: 189.0ms (21.5% of total)ival-add: 121.0ms (13.8% of total)ival-div: 53.0ms (6% of total)ival-sub: 46.0ms (5.2% of total)ival-true: 6.0ms (0.7% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 79 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 4481/100000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 99229/100000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27061/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4481/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 230753/100000 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 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 |
| 90.0ms | 512× | 0 | valid |
Compiled 162 to 46 computations (71.6% saved)
ival-add: 32.0ms (44.2% of total)const: 24.0ms (33.1% of total)ival-mult: 10.0ms (13.8% of total)ival-div: 3.0ms (4.1% of total)ival-sub: 2.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 700× | lower-fma.f64 |
| 700× | lower-fma.f32 |
| 292× | lower-*.f32 |
| 289× | lower-*.f64 |
| 172× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 37 | 37 |
| 2 | 103 | 35 |
| 3 | 285 | 34 |
| 4 | 715 | 34 |
| 5 | 1276 | 34 |
| 6 | 1752 | 34 |
| 7 | 2396 | 34 |
| 8 | 2457 | 34 |
| 9 | 2488 | 34 |
| 10 | 2488 | 34 |
| 0 | 14 | 17 |
| 0 | 22 | 17 |
| 1 | 32 | 17 |
| 2 | 48 | 17 |
| 3 | 92 | 17 |
| 4 | 192 | 17 |
| 5 | 369 | 17 |
| 6 | 619 | 17 |
| 7 | 992 | 17 |
| 8 | 1578 | 17 |
| 9 | 2082 | 17 |
| 10 | 2240 | 17 |
| 11 | 2296 | 17 |
| 12 | 2329 | 17 |
| 13 | 2332 | 17 |
| 14 | 2332 | 17 |
| 0 | 2332 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) | |
| cost-diff | 128 | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) | |
| cost-diff | 128 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 700× | lower-fma.f64 |
| 700× | lower-fma.f32 |
| 292× | lower-*.f32 |
| 289× | lower-*.f64 |
| 172× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 22 | 70 |
| 1 | 32 | 70 |
| 2 | 48 | 70 |
| 3 | 92 | 70 |
| 4 | 192 | 70 |
| 5 | 369 | 70 |
| 6 | 619 | 70 |
| 7 | 992 | 70 |
| 8 | 1578 | 70 |
| 9 | 2082 | 70 |
| 10 | 2240 | 70 |
| 11 | 2296 | 70 |
| 12 | 2329 | 70 |
| 13 | 2332 | 70 |
| 14 | 2332 | 70 |
| 0 | 2332 | 59 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
x |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
#s(literal 230753/100000 binary64) |
(*.f64 x #s(literal 27061/100000 binary64)) |
#s(literal 27061/100000 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
#s(literal 99229/100000 binary64) |
(*.f64 x #s(literal 4481/100000 binary64)) |
#s(literal 4481/100000 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
x |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 #s(literal 27061/100000 binary64) x) |
#s(literal 27061/100000 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 99229/100000 binary64) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(*.f64 #s(literal 4481/100000 binary64) x) |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) | |
| accuracy | 0.33984375 | (*.f64 x #s(literal 4481/100000 binary64)) | |
| accuracy | 0.453125 | (*.f64 x #s(literal 27061/100000 binary64)) | |
| accuracy | 18.47621677772715 | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 31.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 12.0ms (52.4% of total)ival-mult: 5.0ms (21.8% of total)ival-add: 3.0ms (13.1% of total)ival-div: 2.0ms (8.7% of total)ival-sub: 1.0ms (4.4% 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 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 230753/100000 (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 99229/100000 x) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) (patch (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
| 0.0ms | x | @ | -inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | -inf | (* x 4481/100000) |
| 0.0ms | x | @ | inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 1× | egg-herbie |
| 4 684× | lower-fma.f64 |
| 4 684× | lower-fma.f32 |
| 1 475× | lower-*.f64 |
| 1 475× | lower-*.f32 |
| 851× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 #s(literal -151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 #s(literal -151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x)) x) #s(literal -27061/4481 binary64)) x) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 99229/100000 x) |
(*.f64 #s(literal 99229/100000 binary64) x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
| 3 453× | lower-fma.f64 |
| 3 453× | lower-fma.f32 |
| 2 673× | lower-*.f32 |
| 2 670× | lower-*.f64 |
| 2 026× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 92 | 64 |
| 2 | 738 | 64 |
| 0 | 8420 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
(*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 6244406933/10000000000 binary64) x))))) |
(*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) |
(*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 #s(literal 536259952181793841/100000000000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 x x)) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64) (*.f64 #s(literal 7782059939393690265947066921031556117141/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 x x)) x) #s(literal 12286892763167777/1000000000000000 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)))) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 6244406933/10000000000 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))) (+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))) (*.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x))) (*.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) (-.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 #s(literal 99229/100000 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x))) x)) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x))) x) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) x) (fma.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) x) (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) (fma.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x)))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)))) |
(fma.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 4481/100000 binary64) (*.f64 #s(literal 99229/100000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 4481/100000 binary64) (*.f64 x #s(literal 99229/100000 binary64))) |
(fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) x (*.f64 #s(literal 99229/100000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) x (*.f64 x #s(literal 99229/100000 binary64))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) (*.f64 #s(literal 99229/100000 binary64) x)) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) (*.f64 x #s(literal 99229/100000 binary64))) |
(fma.f64 #s(literal 99229/100000 binary64) x (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) |
(fma.f64 x (*.f64 #s(literal 4481/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 4481/100000 binary64) x) (*.f64 x #s(literal 99229/100000 binary64))) |
(fma.f64 x #s(literal 99229/100000 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))) |
(+.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 #s(literal 99229/100000 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))) |
(+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))) |
Compiled 18 151 to 1 994 computations (89% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 12 | 565 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 12 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 69.1% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) | |
| ▶ | 100.0% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| 68.4% | (-.f64 x (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))) | |
| 99.2% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(approx (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))))) | |
| 47.5% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) | |
| 54.0% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) | |
| ▶ | 55.2% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| 99.1% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) | |
| ▶ | 49.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
| 47.5% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) | |
| ▶ | 55.3% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
| ▶ | 47.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 298 to 194 computations (34.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) | |
| cost-diff | 0 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 27061/4481 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) | |
| cost-diff | 0 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| 2 012× | lower-fma.f32 |
| 2 005× | lower-fma.f64 |
| 636× | lower-*.f64 |
| 636× | lower-*.f32 |
| 384× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 195 |
| 0 | 52 | 180 |
| 1 | 78 | 180 |
| 2 | 111 | 180 |
| 3 | 217 | 180 |
| 4 | 416 | 180 |
| 5 | 714 | 180 |
| 6 | 1070 | 180 |
| 7 | 1583 | 180 |
| 8 | 2936 | 180 |
| 9 | 3638 | 180 |
| 10 | 4173 | 180 |
| 11 | 4344 | 180 |
| 12 | 4389 | 180 |
| 13 | 4417 | 180 |
| 14 | 4516 | 180 |
| 15 | 4552 | 180 |
| 16 | 4552 | 180 |
| 17 | 4556 | 180 |
| 18 | 4556 | 180 |
| 19 | 4557 | 180 |
| 0 | 4557 | 180 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
x |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
#s(literal -230753/100000 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal 30191289437/10000000000 binary64) |
x |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
x |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(literal 27061/4481 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
x |
#s(literal -1900161040244073/1000000000000000 binary64) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
x |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
#s(literal -230753/100000 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal 30191289437/10000000000 binary64) |
x |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
x |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(literal 27061/4481 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
x |
#s(literal -1900161040244073/1000000000000000 binary64) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) | |
| accuracy | 0.12109375 | (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) | |
| accuracy | 32.52348901712959 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) | |
| accuracy | 0.265625 | (/.f64 #s(literal 27061/4481 binary64) x) | |
| accuracy | 28.895275308391195 | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) | |
| accuracy | 0.1875 | (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) | |
| accuracy | 28.580379871896476 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) | |
| accuracy | 33.76693841468832 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.17578125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.26953125 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.47621677772715 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
| 92.0ms | 256× | 0 | valid |
Compiled 188 to 38 computations (79.8% saved)
const: 29.0ms (38.6% of total)ival-mult: 27.0ms (36% of total)ival-add: 10.0ms (13.3% of total)ival-div: 7.0ms (9.3% of total)ival-sub: 2.0ms (2.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 179503363065659419717/100000000000000000000 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 179503363065659419717/100000000000000000000 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1900161040244073/1000000000000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) (taylor 0 x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) (taylor 0 x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) (taylor 0 x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 179503363065659419717/100000000000000000000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 179503363065659419717/100000000000000000000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 99229/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (* (+ (* (+ (* 179503363065659419717/100000000000000000000 x) -1900161040244073/1000000000000000) x) 30191289437/10000000000) x) -230753/100000) |
| 0.0ms | x | @ | inf | (+ (* (+ (* (+ (* 179503363065659419717/100000000000000000000 x) -1900161040244073/1000000000000000) x) 30191289437/10000000000) x) -230753/100000) |
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | inf | (/ 27061/4481 x) |
| 0.0ms | x | @ | -inf | (/ 27061/4481 x) |
| 1× | egg-herbie |
| 7 416× | lower-fma.f64 |
| 7 416× | lower-fma.f32 |
| 1 987× | lower-*.f64 |
| 1 987× | lower-*.f32 |
| 1 825× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 1394 |
| 1 | 510 | 1366 |
| 2 | 1371 | 1330 |
| 3 | 3862 | 1328 |
| 0 | 8163 | 1186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
-1900161040244073/1000000000000000 |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(* 179503363065659419717/100000000000000000000 x) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 x) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64)) x) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x)) #s(literal -179503363065659419717/100000000000000000000 binary64)) x #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal 30191289437/10000000000 binary64)) (*.f64 x x))) x #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x)) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x)) #s(literal -179503363065659419717/100000000000000000000 binary64)) x #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (fma.f64 (-.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal 30191289437/10000000000 binary64)) (*.f64 x x))) x #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x)) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 1900161040244073/1000000000000000 binary64)) x (*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 1900161040244073/1000000000000000 binary64)) x (*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 1900161040244073/1000000000000000 binary64)) x (*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 1900161040244073/1000000000000000 binary64)) x (*.f64 (*.f64 x x) #s(literal 179503363065659419717/100000000000000000000 binary64))) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 x) |
(*.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 x) |
(*.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
| 2 438× | lower-/.f32 |
| 2 436× | lower-/.f64 |
| 2 196× | lower-fma.f32 |
| 2 189× | lower-fma.f64 |
| 1 770× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 178 |
| 0 | 52 | 163 |
| 1 | 275 | 163 |
| 2 | 1786 | 163 |
| 0 | 8348 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) |
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (fma.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))))) |
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(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) |
Compiled 14 870 to 1 515 computations (89.8% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 7 | 548 |
| Fresh | 6 | 1 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 547 | 13 | 560 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.1% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| ▶ | 99.2% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| 55.2% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) | |
| ▶ | 47.5% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
| ▶ | 54.0% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
| ▶ | 99.1% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | 55.2% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| 47.5% | #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) | |
| ✓ | 49.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
| ✓ | 55.3% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
| 51.3% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) | |
| ✓ | 47.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 261 to 165 computations (36.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) | |
| cost-diff | 128 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) | |
| cost-diff | 128 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| 5 613× | lower-fma.f32 |
| 5 607× | lower-fma.f64 |
| 1 326× | lower-*.f32 |
| 1 322× | lower-*.f64 |
| 1 216× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 345 |
| 0 | 70 | 345 |
| 1 | 128 | 343 |
| 2 | 280 | 343 |
| 3 | 964 | 343 |
| 4 | 3322 | 343 |
| 5 | 7395 | 343 |
| 0 | 8398 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
x |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) |
#s(literal 1900161040244073/1000000000000000 binary64) |
#s(literal -20191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
#s(literal -1651231776/20079361 binary64) |
#s(literal -27061/4481 binary64) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
x |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) |
#s(literal 1900161040244073/1000000000000000 binary64) |
#s(literal -20191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
#s(literal -1651231776/20079361 binary64) |
#s(literal -27061/4481 binary64) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) x) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.26953125 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 2.28990632692127 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) | |
| accuracy | 18.93555198168014 | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) | |
| accuracy | 0.21875 | (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) | |
| accuracy | 0.421875 | (/.f64 #s(literal -1651231776/20079361 binary64) x) | |
| accuracy | 29.456134265200998 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) | |
| accuracy | 33.975215926674935 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) | |
| accuracy | 33.46747730740432 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.26953125 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.47621677772715 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 33.62176982955657 | #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) |
| 198.0ms | 256× | 0 | valid |
Compiled 349 to 36 computations (89.7% saved)
const: 146.0ms (81.9% of total)ival-mult: 13.0ms (7.3% of total)ival-div: 7.0ms (3.9% of total)ival-add: 6.0ms (3.4% of total)ival-sub: 4.0ms (2.2% of total)ival-neg: 1.0ms (0.6% 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 (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) (patch (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) (patch (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) (patch (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) (patch #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (+ (* 4481/100000 x) 99229/100000) |
| 0.0ms | x | @ | -inf | (/ (- (/ -1651231776/20079361 x) -27061/4481) x) |
| 0.0ms | x | @ | inf | (/ (+ (* 27061/100000 x) 230753/100000) (- 1 (* (* (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) x) x))) |
| 0.0ms | x | @ | 0 | (/ (- (/ -1651231776/20079361 x) -27061/4481) x) |
| 0.0ms | x | @ | inf | (/ (- (/ -1651231776/20079361 x) -27061/4481) x) |
| 1× | egg-herbie |
| 5 077× | lower-fma.f64 |
| 5 077× | lower-fma.f32 |
| 2 047× | lower-*.f64 |
| 2 047× | lower-*.f32 |
| 1 521× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 2047 |
| 1 | 711 | 2015 |
| 2 | 1847 | 1871 |
| 3 | 4469 | 1806 |
| 0 | 8297 | 1629 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
-20191289437/10000000000 |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(* 1900161040244073/1000000000000000 x) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 x) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/ -1651231776/20079361 x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
9846394441/10000000000 |
(+ 9846394441/10000000000 (* 444645149/5000000000 x)) |
(+ 9846394441/10000000000 (* x (+ 444645149/5000000000 (* 20079361/10000000000 x)))) |
(+ 9846394441/10000000000 (* x (+ 444645149/5000000000 (* 20079361/10000000000 x)))) |
(* 20079361/10000000000 (pow x 2)) |
(* (pow x 2) (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* (pow x 2) (+ 20079361/10000000000 (+ (/ 9846394441/10000000000 (pow x 2)) (* 444645149/5000000000 (/ 1 x))))) |
(* (pow x 2) (+ 20079361/10000000000 (+ (/ 9846394441/10000000000 (pow x 2)) (* 444645149/5000000000 (/ 1 x))))) |
(* 20079361/10000000000 (pow x 2)) |
(* (pow x 2) (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* (pow x 2) (+ 20079361/10000000000 (+ (/ 9846394441/10000000000 (pow x 2)) (* 444645149/5000000000 (/ 1 x))))) |
(* (pow x 2) (+ 20079361/10000000000 (+ (/ 9846394441/10000000000 (pow x 2)) (* 444645149/5000000000 (/ 1 x))))) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* x (+ 27061/100000 (* 2272085056444073/1000000000000000 x)))) |
(+ 230753/100000 (* x (+ 27061/100000 (* x (+ 2272085056444073/1000000000000000 (* 94331936820459/200000000000000 x)))))) |
(/ -2706100000/20079361 (pow x 3)) |
(/ (- (* 433646774500000/89975616641 (/ 1 x)) 2706100000/20079361) (pow x 3)) |
(/ (- (* 433646774500000/89975616641 (/ 1 x)) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) |
(/ (- (+ (* 433646774500000/89975616641 (/ 1 x)) (* 7521593065796171997700000/1806652887732246401 (/ 1 (pow x 3)))) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) |
(/ -2706100000/20079361 (pow x 3)) |
(* -1 (/ (- 2706100000/20079361 (* 433646774500000/89975616641 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 2706100000/20079361 (* -1 (/ (- 433646774500000/89975616641 (* 59415343576930900000/403180738168321 (/ 1 x))) x))) (pow x 3))) |
(* -1 (/ (+ 2706100000/20079361 (* -1 (/ (+ 433646774500000/89975616641 (* -1 (/ (- 59415343576930900000/403180738168321 (* 7521593065796171997700000/1806652887732246401 (/ 1 x))) x))) x))) (pow x 3))) |
-1 |
(- (* 99229/100000 x) 1) |
(- (* x (+ 99229/100000 (* 4481/100000 x))) 1) |
(- (* x (+ 99229/100000 (* 4481/100000 x))) 1) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (- (+ 4481/100000 (* 99229/100000 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ 4481/100000 (* 99229/100000 (/ 1 x))) (/ 1 (pow x 2)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* -1 (/ (- (/ 1 x) 99229/100000) x)))) |
(* (pow x 2) (+ 4481/100000 (* -1 (/ (- (/ 1 x) 99229/100000) x)))) |
1 |
(+ 1 (* -99229/100000 x)) |
(+ 1 (* x (- (* -4481/100000 x) 99229/100000))) |
(+ 1 (* x (- (* -4481/100000 x) 99229/100000))) |
(* -4481/100000 (pow x 2)) |
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* -4481/100000 (pow x 2)) |
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 99229/100000 (/ 1 x)) x)) 4481/100000)) |
(* (pow x 2) (- (* -1 (/ (- 99229/100000 (/ 1 x)) x)) 4481/100000)) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 (*.f64 x x) x))) x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 (*.f64 x x) x))) x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
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(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 (*.f64 x x) x))) x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 (*.f64 x x) x))) x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
| 2 263× | lower-/.f32 |
| 2 259× | lower-/.f64 |
| 1 881× | lower-*.f32 |
| 1 877× | lower-*.f64 |
| 1 414× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 276 |
| 0 | 70 | 267 |
| 1 | 320 | 261 |
| 2 | 2633 | 261 |
| 0 | 8119 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
#s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (neg.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
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(*.f64 (pow.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))))) |
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) |
(+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) |
Compiled 33 260 to 3 180 computations (90.4% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 992 | 2 | 994 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 994 | 13 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.1% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| ✓ | 99.2% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| ▶ | 55.2% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
| ✓ | 47.5% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
| ▶ | 54.0% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ✓ | 99.1% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | 55.2% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ▶ | 47.5% | #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
| ✓ | 49.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
| ✓ | 55.3% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
| ▶ | 51.3% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
| ✓ | 47.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 232 to 154 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) | |
| cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) | |
| cost-diff | 0 | #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) | |
| cost-diff | 128 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) | |
| cost-diff | 128 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) |
| 4 200× | lower-fma.f32 |
| 4 190× | lower-fma.f64 |
| 1 474× | lower-*.f32 |
| 1 470× | lower-*.f64 |
| 1 005× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 434 |
| 0 | 93 | 432 |
| 1 | 159 | 430 |
| 2 | 295 | 430 |
| 3 | 777 | 430 |
| 4 | 2003 | 418 |
| 5 | 4792 | 418 |
| 0 | 8240 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x) |
(*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) |
#s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) |
(fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) |
#s(literal 20079361/10000000000 binary64) |
#s(literal 444645149/5000000000 binary64) |
#s(literal 9846394441/10000000000 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) |
#s(literal -1900161040244073/1000000000000000 binary64) |
x |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) |
#s(literal 27061/4481 binary64) |
#s(literal -1651231776/20079361 binary64) |
(*.f64 x x) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal 911513957868707776969/100000000000000000000 binary64) |
#s(literal -53246947009/10000000000 binary64) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
x |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (*.f64 x x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x) |
(*.f64 (*.f64 x x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) |
#s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)) |
(fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) |
#s(literal 20079361/10000000000 binary64) |
#s(literal 444645149/5000000000 binary64) |
#s(literal 9846394441/10000000000 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) |
#s(literal -1900161040244073/1000000000000000 binary64) |
x |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
x |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) |
#s(literal 27061/4481 binary64) |
#s(literal -1651231776/20079361 binary64) |
(*.f64 x x) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
(fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal 911513957868707776969/100000000000000000000 binary64) |
#s(literal -53246947009/10000000000 binary64) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
(+.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
x |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.26953125 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.47621677772715 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) | |
| accuracy | 28.526986185062164 | #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) | |
| accuracy | 0.18359375 | (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.93450474153039 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) | |
| accuracy | 28.580379871896476 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) | |
| accuracy | 0.12109375 | (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) | |
| accuracy | 18.58006428749559 | (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) | |
| accuracy | 29.456134265200998 | #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) | |
| accuracy | 33.570444821851844 | #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) | |
| accuracy | 0.19140625 | (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) | |
| accuracy | 0.26953125 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 2.28990632692127 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) | |
| accuracy | 18.93555198168014 | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
| 195.0ms | 256× | 0 | valid |
Compiled 376 to 60 computations (84% saved)
ival-add: 61.0ms (35.6% of total)const: 46.0ms (26.8% of total)ival-div: 29.0ms (16.9% of total)ival-mult: 27.0ms (15.7% of total)ival-sub: 7.0ms (4.1% of total)ival-neg: 1.0ms (0.6% 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 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (+ 27061/100000 (* 2272085056444073/1000000000000000 x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (+ 27061/100000 (* x (+ 2272085056444073/1000000000000000 (* 94331936820459/200000000000000 x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2706100000/20079361 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 433646774500000/89975616641 (/ 1 x)) 2706100000/20079361) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 433646774500000/89975616641 (/ 1 x)) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 433646774500000/89975616641 (/ 1 x)) (* 7521593065796171997700000/1806652887732246401 (/ 1 (pow x 3)))) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2706100000/20079361 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 2706100000/20079361 (* 433646774500000/89975616641 (/ 1 x))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2706100000/20079361 (* -1 (/ (- 433646774500000/89975616641 (* 59415343576930900000/403180738168321 (/ 1 x))) x))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2706100000/20079361 (* -1 (/ (+ 433646774500000/89975616641 (* -1 (/ (- 59415343576930900000/403180738168321 (* 7521593065796171997700000/1806652887732246401 (/ 1 x))) x))) x))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 99229/100000 x) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 99229/100000 (* 4481/100000 x))) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 99229/100000 (* 4481/100000 x))) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 4481/100000 (* 99229/100000 (/ 1 x))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 4481/100000 (* 99229/100000 (/ 1 x))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 4481/100000 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt 444645149/5000000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 444645149/5000000000 (* 20079361/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 444645149/5000000000 (* 20079361/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 444645149/5000000000 (* 20079361/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 20079361/10000000000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 20079361/10000000000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) (patch (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 30191289437/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 30191289437/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 30191289437/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 30191289437/10000000000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 30191289437/10000000000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 99229/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) |
| 0.0ms | x | @ | 0 | (/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) |
| 0.0ms | x | @ | -inf | (/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) |
| 0.0ms | x | @ | inf | (/ (+ (* 27061/4481 x) -1651231776/20079361) (* x x)) |
| 1× | egg-herbie |
| 4 852× | lower-fma.f64 |
| 4 852× | lower-fma.f32 |
| 2 009× | lower-*.f64 |
| 2 009× | lower-*.f32 |
| 1 496× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 1875 |
| 1 | 718 | 1855 |
| 2 | 1858 | 1745 |
| 3 | 4532 | 1682 |
| 0 | 8328 | 1496 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* x (+ 27061/100000 (* 2272085056444073/1000000000000000 x)))) |
(+ 230753/100000 (* x (+ 27061/100000 (* x (+ 2272085056444073/1000000000000000 (* 94331936820459/200000000000000 x)))))) |
(/ -2706100000/20079361 (pow x 3)) |
(/ (- (* 433646774500000/89975616641 (/ 1 x)) 2706100000/20079361) (pow x 3)) |
(/ (- (* 433646774500000/89975616641 (/ 1 x)) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) |
(/ (- (+ (* 433646774500000/89975616641 (/ 1 x)) (* 7521593065796171997700000/1806652887732246401 (/ 1 (pow x 3)))) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) |
(/ -2706100000/20079361 (pow x 3)) |
(* -1 (/ (- 2706100000/20079361 (* 433646774500000/89975616641 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 2706100000/20079361 (* -1 (/ (- 433646774500000/89975616641 (* 59415343576930900000/403180738168321 (/ 1 x))) x))) (pow x 3))) |
(* -1 (/ (+ 2706100000/20079361 (* -1 (/ (+ 433646774500000/89975616641 (* -1 (/ (- 59415343576930900000/403180738168321 (* 7521593065796171997700000/1806652887732246401 (/ 1 x))) x))) x))) (pow x 3))) |
-1 |
(- (* 99229/100000 x) 1) |
(- (* x (+ 99229/100000 (* 4481/100000 x))) 1) |
(- (* x (+ 99229/100000 (* 4481/100000 x))) 1) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (- (+ 4481/100000 (* 99229/100000 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ 4481/100000 (* 99229/100000 (/ 1 x))) (/ 1 (pow x 2)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* -1 (/ (- (/ 1 x) 99229/100000) x)))) |
(* (pow x 2) (+ 4481/100000 (* -1 (/ (- (/ 1 x) 99229/100000) x)))) |
1 |
(+ 1 (* -99229/100000 x)) |
(+ 1 (* x (- (* -4481/100000 x) 99229/100000))) |
(+ 1 (* x (- (* -4481/100000 x) 99229/100000))) |
(* -4481/100000 (pow x 2)) |
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* -4481/100000 (pow x 2)) |
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 99229/100000 (/ 1 x)) x)) 4481/100000)) |
(* (pow x 2) (- (* -1 (/ (- 99229/100000 (/ 1 x)) x)) 4481/100000)) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(* -1900161040244073/1000000000000000 x) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 x) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
-1651231776/20079361 |
(- (* 27061/4481 x) 1651231776/20079361) |
(- (* 27061/4481 x) 1651231776/20079361) |
(- (* 27061/4481 x) 1651231776/20079361) |
(* 27061/4481 x) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(* 27061/4481 x) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
-53246947009/10000000000 |
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000) |
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000) |
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000) |
(* 911513957868707776969/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* 911513957868707776969/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (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) |
(pow x 2) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
444645149/5000000000 |
(+ 444645149/5000000000 (* 20079361/10000000000 x)) |
(+ 444645149/5000000000 (* 20079361/10000000000 x)) |
(+ 444645149/5000000000 (* 20079361/10000000000 x)) |
(* 20079361/10000000000 x) |
(* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* 20079361/10000000000 x) |
(* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
(* x (+ 20079361/10000000000 (* 444645149/5000000000 (/ 1 x)))) |
230753/100000 |
(+ 230753/100000 (* 30191289437/10000000000 x)) |
(+ 230753/100000 (* 30191289437/10000000000 x)) |
(+ 230753/100000 (* 30191289437/10000000000 x)) |
(* 30191289437/10000000000 x) |
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (+ 27061/100000 (* 2272085056444073/1000000000000000 x)))) |
(fma.f64 (fma.f64 #s(literal 2272085056444073/1000000000000000 binary64) x #s(literal 27061/100000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (+ 27061/100000 (* x (+ 2272085056444073/1000000000000000 (* 94331936820459/200000000000000 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 94331936820459/200000000000000 binary64) x #s(literal 2272085056444073/1000000000000000 binary64)) x #s(literal 27061/100000 binary64)) x #s(literal 230753/100000 binary64)) |
(/ -2706100000/20079361 (pow x 3)) |
(/.f64 #s(literal -2706100000/20079361 binary64) (*.f64 (*.f64 x x) x)) |
(/ (- (* 433646774500000/89975616641 (/ 1 x)) 2706100000/20079361) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 433646774500000/89975616641 binary64) x) #s(literal 2706100000/20079361 binary64)) (*.f64 (*.f64 x x) x)) |
(/ (- (* 433646774500000/89975616641 (/ 1 x)) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 #s(literal -2706100000/20079361 binary64) (/.f64 (-.f64 #s(literal -433646774500000/89975616641 binary64) (/.f64 #s(literal -59415343576930900000/403180738168321 binary64) x)) x)) (*.f64 (*.f64 x x) x)) |
(/ (- (+ (* 433646774500000/89975616641 (/ 1 x)) (* 7521593065796171997700000/1806652887732246401 (/ 1 (pow x 3)))) (+ 2706100000/20079361 (/ 59415343576930900000/403180738168321 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 7521593065796171997700000/1806652887732246401 binary64) (*.f64 (*.f64 x x) x)) #s(literal 2706100000/20079361 binary64)) (/.f64 (-.f64 #s(literal -433646774500000/89975616641 binary64) (/.f64 #s(literal -59415343576930900000/403180738168321 binary64) x)) x)) (*.f64 (*.f64 x x) x)) |
(/ -2706100000/20079361 (pow x 3)) |
(/.f64 #s(literal -2706100000/20079361 binary64) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (- 2706100000/20079361 (* 433646774500000/89975616641 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 #s(literal 433646774500000/89975616641 binary64) x) #s(literal 2706100000/20079361 binary64)) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (+ 2706100000/20079361 (* -1 (/ (- 433646774500000/89975616641 (* 59415343576930900000/403180738168321 (/ 1 x))) x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -2706100000/20079361 binary64) (/.f64 (-.f64 #s(literal -433646774500000/89975616641 binary64) (/.f64 #s(literal -59415343576930900000/403180738168321 binary64) x)) x)) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (+ 2706100000/20079361 (* -1 (/ (+ 433646774500000/89975616641 (* -1 (/ (- 59415343576930900000/403180738168321 (* 7521593065796171997700000/1806652887732246401 (/ 1 x))) x))) x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -2706100000/20079361 binary64) (/.f64 (-.f64 #s(literal -433646774500000/89975616641 binary64) (/.f64 (-.f64 #s(literal -59415343576930900000/403180738168321 binary64) (/.f64 #s(literal -7521593065796171997700000/1806652887732246401 binary64) x)) x)) x)) (*.f64 (*.f64 x x) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 99229/100000 x) 1) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 99229/100000 (* 4481/100000 x))) 1) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 99229/100000 (* 4481/100000 x))) 1) |
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(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
| 2 332× | lower-*.f32 |
| 2 328× | lower-*.f64 |
| 1 734× | lower-/.f32 |
| 1 730× | lower-/.f64 |
| 1 691× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 298 |
| 0 | 93 | 290 |
| 1 | 454 | 276 |
| 2 | 3426 | 276 |
| 0 | 8133 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
(*.f64 x x) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) |
(fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (*.f64 #s(literal 6244406933/10000000000 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)))) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))))))) (fma.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) |
(*.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (*.f64 #s(literal 6244406933/10000000000 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (*.f64 #s(literal 6244406933/10000000000 binary64) x)) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64)) (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
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(fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) |
(fma.f64 x #s(literal 20079361/10000000000 binary64) #s(literal 444645149/5000000000 binary64)) |
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(+.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/5000000000 binary64)) |
(+.f64 #s(literal 444645149/5000000000 binary64) (*.f64 #s(literal 20079361/10000000000 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (*.f64 (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))) |
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 30191289437/10000000000 binary64) x))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x #s(literal -53246947009/10000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) x) x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))) |
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 30191289437/10000000000 binary64) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))))) |
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) |
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (*.f64 (*.f64 x x) x) #s(literal 977047873985989/1000000000000000 binary64)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) |
(+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) |
Compiled 21 851 to 1 930 computations (91.2% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 792 | 3 | 795 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 7 | 8 |
| Total | 795 | 13 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| 69.1% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #s(approx (neg (- 1 (* (+ (* 4481/100000 x) 99229/100000) x))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) x) | |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| ✓ | 99.2% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
| ✓ | 55.2% | (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
| ✓ | 54.0% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ✓ | 99.1% | (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | 55.2% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ✓ | 47.5% | #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
| 47.5% | #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+.f64 (*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x) #s(literal -230753/100000 binary64))) | |
| ✓ | 49.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
| ✓ | 55.3% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
| 45.9% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) | |
| ✓ | 47.2% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 458 to 192 computations (58.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+.f64 (*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x) #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(approx (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(-.f64 x (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) #s(approx (neg (- 1 (* (+ (* 4481/100000 x) 99229/100000) x))) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* 4481/100000 x) 99229/100000) (+ (* 4481/100000 x) 99229/100000)) (fma.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) x #s(literal 444645149/5000000000 binary64)) x #s(literal 9846394441/10000000000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) x) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
2 calls:
| 8.0ms | x |
| 7.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+.f64 (*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x) #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(approx (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+.f64 (*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x) #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
2 calls:
| 1.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | x |
| 47.2% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 69 |
| 1 | 38 | 69 |
| 2 | 55 | 69 |
| 3 | 67 | 69 |
| 4 | 76 | 69 |
| 5 | 79 | 69 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 #s(approx (+ (* 4481/100000 x) 99229/100000) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| 7 416× | lower-fma.f64 |
| 7 416× | lower-fma.f32 |
| 4 684× | lower-fma.f64 |
| 4 684× | lower-fma.f32 |
| 3 453× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 92 | 64 |
| 2 | 738 | 64 |
| 0 | 8420 | 53 |
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 0 | 174 | 1394 |
| 1 | 510 | 1366 |
| 2 | 1371 | 1330 |
| 3 | 3862 | 1328 |
| 0 | 8163 | 1186 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 177 to 78 computations (55.9% saved)
Compiled 102 to 60 computations (41.2% saved)
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