
Time bar (total: 6.3s)
| 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)
| 994.0ms | 8 256× | 0 | valid |
const: 412.0ms (50% of total)ival-mult: 169.0ms (20.5% of total)ival-add: 118.0ms (14.3% of total)ival-div: 62.0ms (7.5% of total)ival-sub: 47.0ms (5.7% of total)ival-true: 7.0ms (0.8% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 54 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.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 |
| 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 |
| 72.0ms | 512× | 0 | valid |
Compiled 162 to 46 computations (71.6% saved)
const: 27.0ms (49.9% of total)ival-add: 10.0ms (18.5% of total)ival-mult: 10.0ms (18.5% of total)ival-div: 4.0ms (7.4% of total)ival-sub: 2.0ms (3.7% 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 |
| 1 400× | lower-fma.f64 |
| 1 400× | lower-fma.f32 |
| 584× | lower-*.f32 |
| 578× | lower-*.f64 |
| 480× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 43 | 35 |
| 2 | 138 | 35 |
| 3 | 374 | 34 |
| 4 | 684 | 34 |
| 5 | 1053 | 34 |
| 6 | 1712 | 34 |
| 7 | 2199 | 34 |
| 8 | 2307 | 34 |
| 9 | 2348 | 34 |
| 10 | 2351 | 34 |
| 11 | 2351 | 34 |
| 0 | 14 | 17 |
| 0 | 22 | 17 |
| 1 | 38 | 17 |
| 2 | 59 | 17 |
| 3 | 71 | 17 |
| 4 | 79 | 17 |
| 5 | 98 | 17 |
| 6 | 156 | 17 |
| 7 | 314 | 17 |
| 8 | 786 | 17 |
| 9 | 1496 | 17 |
| 10 | 2758 | 17 |
| 11 | 3232 | 17 |
| 12 | 3348 | 17 |
| 13 | 3393 | 17 |
| 14 | 3401 | 17 |
| 15 | 3401 | 17 |
| 0 | 3401 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) | |
| cost-diff | 128 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 1 400× | lower-fma.f64 |
| 1 400× | lower-fma.f32 |
| 584× | lower-*.f32 |
| 578× | lower-*.f64 |
| 480× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 22 | 70 |
| 1 | 38 | 70 |
| 2 | 59 | 70 |
| 3 | 71 | 70 |
| 4 | 79 | 70 |
| 5 | 98 | 70 |
| 6 | 156 | 70 |
| 7 | 314 | 70 |
| 8 | 786 | 70 |
| 9 | 1496 | 70 |
| 10 | 2758 | 70 |
| 11 | 3232 | 70 |
| 12 | 3348 | 70 |
| 13 | 3393 | 70 |
| 14 | 3401 | 70 |
| 15 | 3401 | 70 |
| 0 | 3401 | 59 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
(+.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)) |
x |
#s(literal 27061/100000 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(+.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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
(*.f64 x #s(literal 27061/100000 binary64)) |
x |
#s(literal 27061/100000 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 99229/100000 binary64) |
(*.f64 x #s(literal 4481/100000 binary64)) |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) | |
| accuracy | 0.3671875 | (*.f64 x #s(literal 4481/100000 binary64)) | |
| accuracy | 0.4375 | (*.f64 x #s(literal 27061/100000 binary64)) | |
| accuracy | 12.671742384490697 | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
| 36.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 12.0ms (51.7% of total)ival-mult: 5.0ms (21.5% of total)ival-add: 3.0ms (12.9% of total)ival-div: 2.0ms (8.6% of total)ival-sub: 1.0ms (4.3% 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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #<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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
| 0.0ms | x | @ | inf | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | 0 | (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
| 0.0ms | x | @ | -inf | (* x 4481/100000) |
| 1× | egg-herbie |
| 10 760× | lower-fma.f64 |
| 10 760× | lower-fma.f32 |
| 3 992× | lower-*.f64 |
| 3 992× | lower-*.f32 |
| 1 442× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 592 |
| 1 | 337 | 584 |
| 2 | 799 | 558 |
| 3 | 1945 | 522 |
| 4 | 6969 | 522 |
| 0 | 8157 | 468 |
| 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 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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 #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 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #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 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) 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 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
| 7 866× | lower-fma.f64 |
| 7 866× | lower-fma.f32 |
| 5 638× | lower-*.f32 |
| 5 632× | lower-*.f64 |
| 3 966× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 98 | 64 |
| 2 | 807 | 64 |
| 0 | 8382 | 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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
| Outputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(neg.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) |
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 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 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) (+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
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(/.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (neg.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x)) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x) (-.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x)) (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -9846394441/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64))) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -9846394441/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) x) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64)) x) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) x)) |
(*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) x)) |
(*.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64))))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 (*.f64 x (+.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 x #s(literal -4481/100000 binary64))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
Compiled 19 719 to 2 015 computations (89.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 582 | 7 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 583 | 7 | 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| 45.0% | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) | |
| 46.2% | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x) | |
| ▶ | 98.3% | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
| ▶ | 63.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ▶ | 46.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
| ▶ | 56.4% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
Compiled 102 to 66 computations (35.3% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| 1 544× | lower-fma.f32 |
| 1 536× | lower-fma.f64 |
| 664× | lower-*.f64 |
| 664× | lower-*.f32 |
| 526× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 157 |
| 0 | 37 | 142 |
| 1 | 61 | 142 |
| 2 | 94 | 142 |
| 3 | 108 | 142 |
| 4 | 124 | 142 |
| 5 | 158 | 142 |
| 6 | 253 | 142 |
| 7 | 440 | 142 |
| 8 | 924 | 142 |
| 9 | 1631 | 142 |
| 10 | 2922 | 142 |
| 11 | 3413 | 142 |
| 12 | 3545 | 142 |
| 13 | 3599 | 142 |
| 14 | 3613 | 142 |
| 15 | 3618 | 142 |
| 16 | 3624 | 142 |
| 0 | 3624 | 142 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
x |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
x |
#s(literal -30191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
x |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
x |
#s(literal -30191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1640625 | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) | |
| accuracy | 23.658607126642252 | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) | |
| accuracy | 0 | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) | |
| accuracy | 27.754557779847016 | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 34.52990399954437 | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) | |
| accuracy | 27.90968870765778 | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) | |
| accuracy | 0.078125 | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.15234375 | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) | |
| accuracy | 0.21484375 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) | |
| accuracy | 12.671742384490697 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
| 58.0ms | 256× | 0 | valid |
Compiled 156 to 26 computations (83.3% saved)
const: 15.0ms (34.2% of total)ival-mult: 14.0ms (31.9% of total)ival-add: 8.0ms (18.2% of total)ival-div: 3.0ms (6.8% of total)ival-sub: 2.0ms (4.6% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) (patch (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* x -30191289437/10000000000) 230753/100000) |
| 0.0ms | x | @ | 0 | (+ (* x -30191289437/10000000000) 230753/100000) |
| 0.0ms | x | @ | inf | (neg x) |
| 0.0ms | x | @ | -inf | (+ (* x -30191289437/10000000000) 230753/100000) |
| 0.0ms | x | @ | 0 | (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
| 1× | egg-herbie |
| 10 958× | lower-fma.f64 |
| 10 958× | lower-fma.f32 |
| 4 166× | lower-*.f64 |
| 4 166× | lower-*.f32 |
| 1 472× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1102 |
| 1 | 354 | 1086 |
| 2 | 851 | 1062 |
| 3 | 2118 | 894 |
| 4 | 7292 | 894 |
| 0 | 8505 | 810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(* -30191289437/10000000000 x) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(* -30191289437/10000000000 x) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* 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 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #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 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) 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 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
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 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #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 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) 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 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -30191289437/10000000000 x) |
(*.f64 #s(literal -30191289437/10000000000 binary64) x) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -30191289437/10000000000 x) |
(*.f64 #s(literal -30191289437/10000000000 binary64) x) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| 4 938× | lower-fma.f32 |
| 4 930× | lower-fma.f64 |
| 4 606× | lower-/.f32 |
| 4 604× | lower-/.f64 |
| 3 584× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 144 |
| 0 | 37 | 129 |
| 1 | 193 | 129 |
| 2 | 1444 | 129 |
| 0 | 8476 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(+.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 4481/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #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 x #s(literal 444645149/10000000000 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 x #s(literal 4481/100000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x #s(literal 4481/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
Compiled 21 357 to 1 910 computations (91.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 710 | 3 | 713 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 712 | 8 | 720 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| ▶ | 46.4% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
| ▶ | 45.0% | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
| ▶ | 46.2% | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
| ✓ | 98.3% | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
| ✓ | 63.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 46.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
| ✓ | 56.4% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
Compiled 66 to 43 computations (34.8% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) | |
| cost-diff | 0 | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 27061/4481 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
| 2 160× | lower-fma.f32 |
| 2 156× | lower-fma.f64 |
| 1 072× | lower-*.f32 |
| 1 070× | lower-*.f64 |
| 824× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 179 |
| 0 | 40 | 179 |
| 1 | 59 | 179 |
| 2 | 82 | 179 |
| 3 | 102 | 179 |
| 4 | 122 | 179 |
| 5 | 165 | 179 |
| 6 | 257 | 179 |
| 7 | 379 | 179 |
| 8 | 665 | 179 |
| 9 | 1232 | 179 |
| 10 | 2839 | 179 |
| 11 | 3923 | 179 |
| 12 | 4678 | 179 |
| 13 | 4959 | 179 |
| 14 | 5298 | 179 |
| 15 | 5346 | 179 |
| 16 | 5426 | 179 |
| 17 | 5588 | 179 |
| 18 | 5590 | 179 |
| 19 | 5590 | 179 |
| 20 | 5590 | 179 |
| 0 | 5590 | 172 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(literal 27061/4481 binary64) |
x |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
#s(literal 27061/4481 binary64) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
#s(literal -1651231776/20079361 binary64) |
x |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(literal 27061/4481 binary64) |
x |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
#s(literal 27061/4481 binary64) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
#s(literal -1651231776/20079361 binary64) |
x |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) | |
| accuracy | 0.21484375 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) | |
| accuracy | 12.671742384490697 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) | |
| accuracy | 34.47125992275401 | #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) | |
| accuracy | 0.26953125 | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) | |
| accuracy | 0.38671875 | (/.f64 #s(literal -1651231776/20079361 binary64) x) | |
| accuracy | 35.6074129974378 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) | |
| accuracy | 0 | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 27061/4481 binary64) x) | |
| accuracy | 35.12121618813684 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) |
| 85.0ms | 256× | 0 | valid |
Compiled 152 to 22 computations (85.5% saved)
const: 50.0ms (68.7% of total)ival-div: 12.0ms (16.5% of total)ival-mult: 5.0ms (6.9% of total)ival-add: 4.0ms (5.5% of total)ival-sub: 1.0ms (1.4% 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(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.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 (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) (patch (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #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 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 99229/100000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | -inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | 0 | (/ -1651231776/20079361 x) |
| 1× | egg-herbie |
| 11 684× | lower-fma.f64 |
| 11 684× | lower-fma.f32 |
| 4 134× | lower-*.f64 |
| 4 134× | lower-*.f32 |
| 1 548× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1108 |
| 1 | 351 | 1084 |
| 2 | 829 | 1002 |
| 3 | 2009 | 942 |
| 4 | 7038 | 942 |
| 0 | 8297 | 873 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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))))) |
(/ -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) |
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 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
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(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #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 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| 5 010× | lower-fma.f32 |
| 5 006× | lower-fma.f64 |
| 4 310× | lower-/.f32 |
| 4 302× | lower-/.f64 |
| 3 840× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 163 |
| 0 | 40 | 163 |
| 1 | 177 | 163 |
| 2 | 1319 | 163 |
| 0 | 8340 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(+.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) |
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))))) |
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
(-.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) |
(fma.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))))) |
(fma.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))) |
(fma.f64 #s(literal -1 binary64) x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (neg.f64 x)))) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) |
(/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))) |
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (*.f64 x #s(literal -444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #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 x #s(literal -4481/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 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 x #s(literal -4481/100000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) (*.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (*.f64 x #s(literal -444645149/10000000000 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal -20079361/10000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
Compiled 15 131 to 1 392 computations (90.8% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 1 | 539 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 539 | 8 | 547 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| ✓ | 46.4% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
| ▶ | 45.0% | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
| ✓ | 46.2% | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
| ✓ | 98.3% | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
| ✓ | 63.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 46.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
| ✓ | 56.4% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
Compiled 67 to 43 computations (35.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
| 2 568× | lower-fma.f32 |
| 2 566× | lower-fma.f64 |
| 2 166× | div-sub |
| 1 946× | lower-*.f32 |
| 1 944× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 68 |
| 0 | 25 | 68 |
| 1 | 45 | 68 |
| 2 | 65 | 68 |
| 3 | 77 | 68 |
| 4 | 85 | 68 |
| 5 | 100 | 68 |
| 6 | 132 | 68 |
| 7 | 182 | 68 |
| 8 | 251 | 68 |
| 9 | 307 | 68 |
| 10 | 551 | 68 |
| 11 | 852 | 68 |
| 12 | 1550 | 65 |
| 13 | 2958 | 65 |
| 14 | 4166 | 65 |
| 15 | 5020 | 65 |
| 16 | 5380 | 65 |
| 17 | 5668 | 65 |
| 18 | 6147 | 65 |
| 19 | 6800 | 65 |
| 20 | 7649 | 65 |
| 0 | 8040 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
x |
#s(literal 27061/4481 binary64) |
#s(literal -1651231776/20079361 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
x |
#s(literal 27061/4481 binary64) |
#s(literal -1651231776/20079361 binary64) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1484375 | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) | |
| accuracy | 12.7733048844907 | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) | |
| accuracy | 35.6074129974378 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| 139.0ms | 256× | 0 | valid |
Compiled 54 to 22 computations (59.3% saved)
const: 99.0ms (75.5% of total)ival-div: 15.0ms (11.4% of total)ival-mult: 10.0ms (7.6% of total)ival-add: 6.0ms (4.6% of total)ival-sub: 1.0ms (0.8% 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(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
| 0.0ms | x | @ | 0 | (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (* x x) |
| 1× | egg-herbie |
| 9 930× | lower-fma.f64 |
| 9 930× | lower-fma.f32 |
| 2 796× | lower-*.f64 |
| 2 796× | lower-*.f32 |
| 1 368× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 396 |
| 1 | 283 | 388 |
| 2 | 705 | 368 |
| 3 | 1838 | 348 |
| 4 | 5864 | 348 |
| 0 | 8255 | 327 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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))) |
(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) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #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 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #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 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) 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 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ -1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* 27061/4481 x) |
(*.f64 x #s(literal 27061/4481 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* 27061/4481 x) |
(*.f64 x #s(literal 27061/4481 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 7 664× | lower-fma.f32 |
| 7 662× | lower-fma.f64 |
| 5 852× | lower-*.f32 |
| 5 850× | lower-*.f64 |
| 4 218× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 65 |
| 0 | 25 | 65 |
| 1 | 127 | 65 |
| 2 | 933 | 65 |
| 0 | 8586 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))))))) |
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))))) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
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(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/20079361 binary64)) #s(literal -44683983090336/89975616641 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) |
(/.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))) (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) #s(literal 2726566378072114176/403180738168321 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 7782059939393690265947066921031556117141/728407644889815871069003384462721 binary64) #s(literal -91258292290834476100850149964827909829746297178616083754412703100358985045011070976/530577697133928101270133317815322873178697374357292085909838723841 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 392701940846296607456136361/8095611589928196122881 binary64) (-.f64 #s(literal 20269742195050064895315598398373026661251977539303243776/65538927014979735500382131378349320451740161 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -89218647717000468641426656753549623853056/728407644889815871069003384462721 binary64)))) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 392701940846296607456136361/8095611589928196122881 binary64) #s(literal -20269742195050064895315598398373026661251977539303243776/65538927014979735500382131378349320451740161 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal 4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 392701940846296607456136361/8095611589928196122881 binary64) #s(literal -20269742195050064895315598398373026661251977539303243776/65538927014979735500382131378349320451740161 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 536259952181793841/403180738168321 binary64) #s(literal 7434164214033287059322749510380158976/162554707629952214030127959041 binary64)) (*.f64 (*.f64 x x) #s(literal 1996658344817433584736592896/8095611589928196122881 binary64))) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 536259952181793841/403180738168321 binary64) #s(literal -7434164214033287059322749510380158976/162554707629952214030127959041 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 732297721/20079361 binary64)) #s(literal 2726566378072114176/403180738168321 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))) (neg.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal -1651231776/20079361 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))) (neg.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (fma.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) (*.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) |
(*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/20079361 binary64)) #s(literal -44683983090336/89975616641 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal -1651231776/20079361 binary64)))) |
(*.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
Compiled 8 544 to 912 computations (89.3% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 0 | 312 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 312 | 8 | 320 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| ✓ | 46.4% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
| ✓ | 45.0% | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
| ✓ | 46.2% | (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
| ✓ | 98.3% | (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
| ✓ | 63.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 46.0% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
| ✓ | 56.4% | #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
Compiled 170 to 81 computations (52.4% saved)
| Inputs |
|---|
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Outputs |
|---|
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) |
| Outputs |
|---|
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
2 calls:
| 6.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) |
2 calls:
| 2.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
| 99.0% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
| Outputs |
|---|
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
2 calls:
| 1.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | x |
| 56.4% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 20 to 15 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.30753 | 584.4954507548346 |
| 0.0ms | -238.038658589121 | 2.3075299912326765 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 151 |
| 1 | 53 | 151 |
| 2 | 58 | 151 |
| 3 | 59 | 151 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -200 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)))) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -200 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)))) |
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) |
| 10 760× | lower-fma.f64 |
| 10 760× | lower-fma.f32 |
| 7 866× | lower-fma.f64 |
| 7 866× | lower-fma.f32 |
| 5 638× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 98 | 64 |
| 2 | 807 | 64 |
| 0 | 8382 | 53 |
| 0 | 122 | 592 |
| 1 | 337 | 584 |
| 2 | 799 | 558 |
| 3 | 1945 | 522 |
| 4 | 6969 | 522 |
| 0 | 8157 | 468 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 143 to 60 computations (58% saved)
Compiled 174 to 82 computations (52.9% saved)
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