
Time bar (total: 8.2s)
| 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 21 to 18 computations (14.3% saved)
| 1.2s | 8 256× | 0 | valid |
const: 525.0ms (50.3% of total)ival-mult: 223.0ms (21.4% of total)ival-add: 180.0ms (17.2% of total)ival-div: 63.0ms (6% of total)ival-sub: 38.0ms (3.6% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 81 | 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 #s(literal 70711/100000 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)) |
| 0 | 0 | - | 0 | - | #s(literal 70711/100000 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 |
| 97.0ms | 512× | 0 | valid |
Compiled 203 to 52 computations (74.4% saved)
const: 52.0ms (67.3% of total)ival-mult: 13.0ms (16.8% of total)ival-add: 6.0ms (7.8% of total)ival-div: 3.0ms (3.9% of total)ival-sub: 2.0ms (2.6% 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 |
| 3 064× | lower-fma.f64 |
| 3 064× | lower-fma.f32 |
| 1 288× | lower-*.f32 |
| 1 280× | lower-*.f64 |
| 1 086× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 46 |
| 1 | 51 | 38 |
| 2 | 156 | 38 |
| 3 | 442 | 38 |
| 4 | 865 | 38 |
| 5 | 1403 | 38 |
| 6 | 2557 | 38 |
| 7 | 3812 | 38 |
| 8 | 4250 | 38 |
| 9 | 4320 | 38 |
| 10 | 4344 | 38 |
| 11 | 4360 | 38 |
| 12 | 4360 | 38 |
| 13 | 4572 | 38 |
| 14 | 4660 | 38 |
| 15 | 4660 | 38 |
| 16 | 4660 | 38 |
| 17 | 4692 | 38 |
| 18 | 4692 | 38 |
| 0 | 16 | 19 |
| 0 | 25 | 19 |
| 1 | 42 | 19 |
| 2 | 69 | 19 |
| 3 | 95 | 19 |
| 4 | 127 | 19 |
| 5 | 164 | 19 |
| 6 | 258 | 19 |
| 7 | 563 | 19 |
| 8 | 1419 | 19 |
| 9 | 2955 | 19 |
| 10 | 3848 | 19 |
| 11 | 3955 | 19 |
| 12 | 3985 | 19 |
| 13 | 4004 | 19 |
| 14 | 4007 | 19 |
| 15 | 4283 | 19 |
| 16 | 5203 | 19 |
| 17 | 5209 | 19 |
| 18 | 5209 | 19 |
| 19 | 5209 | 19 |
| 20 | 5317 | 19 |
| 21 | 6165 | 19 |
| 22 | 6473 | 19 |
| 23 | 6578 | 19 |
| 24 | 6586 | 19 |
| 25 | 6586 | 19 |
| 26 | 6586 | 19 |
| 0 | 6586 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 70711/100000 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)) |
| Outputs |
|---|
(*.f64 #s(literal 70711/100000 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)) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
Compiled 19 to 16 computations (15.8% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 #s(literal 70711/100000 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)) |
Compiled 19 to 16 computations (15.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) | |
| cost-diff | 128 | (*.f64 #s(literal 70711/100000 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)) |
| 3 064× | lower-fma.f64 |
| 3 064× | lower-fma.f32 |
| 1 288× | lower-*.f32 |
| 1 280× | lower-*.f64 |
| 1 086× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 90 |
| 0 | 25 | 90 |
| 1 | 42 | 90 |
| 2 | 69 | 90 |
| 3 | 95 | 90 |
| 4 | 127 | 90 |
| 5 | 164 | 90 |
| 6 | 258 | 90 |
| 7 | 563 | 90 |
| 8 | 1419 | 90 |
| 9 | 2955 | 90 |
| 10 | 3848 | 90 |
| 11 | 3955 | 90 |
| 12 | 3985 | 90 |
| 13 | 4004 | 90 |
| 14 | 4007 | 90 |
| 15 | 4283 | 90 |
| 16 | 5203 | 90 |
| 17 | 5209 | 90 |
| 18 | 5209 | 90 |
| 19 | 5209 | 90 |
| 20 | 5317 | 90 |
| 21 | 6165 | 90 |
| 22 | 6473 | 90 |
| 23 | 6578 | 90 |
| 24 | 6586 | 90 |
| 25 | 6586 | 90 |
| 26 | 6586 | 90 |
| 0 | 6586 | 75 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 70711/100000 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)) |
#s(literal 70711/100000 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 #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 #s(literal 70711/100000 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)) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
#s(literal 70711/100000 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 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 #s(literal 27061/100000 binary64) x) |
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 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 99229/100000 binary64) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(*.f64 #s(literal 4481/100000 binary64) x) |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 #s(literal 70711/100000 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)) | |
| accuracy | 0.37109375 | (*.f64 x #s(literal 4481/100000 binary64)) | |
| accuracy | 0.3984375 | (*.f64 x #s(literal 27061/100000 binary64)) | |
| accuracy | 18.968018087793237 | (/.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)))))) |
| 61.0ms | 256× | 0 | valid |
Compiled 92 to 18 computations (80.4% saved)
ival-add: 28.0ms (53.9% of total)const: 15.0ms (28.9% of total)ival-mult: 6.0ms (11.6% of total)ival-div: 1.0ms (1.9% of total)ival-sub: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 70711/100000 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)) (patch (*.f64 #s(literal 70711/100000 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)) #<representation binary64>) () ()) |
#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 #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>) () ()) |
| Outputs |
|---|
#s(alt 16316775383/10000000000 (taylor 0 x) (#s(alt (*.f64 #s(literal 70711/100000 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)) (patch (*.f64 #s(literal 70711/100000 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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 70711/100000 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)) (patch (*.f64 #s(literal 70711/100000 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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (*.f64 #s(literal 70711/100000 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)) (patch (*.f64 #s(literal 70711/100000 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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (*.f64 #s(literal 70711/100000 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)) (patch (*.f64 #s(literal 70711/100000 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)) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
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#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>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#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 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#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 (/ 27061/4481 x) (taylor -inf x) (#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 (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#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 (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#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 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#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 (* 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 -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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 99229/100000 (* x 4481/100000)) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x 27061/100000) (* x 4481/100000)) |
| 2.0ms | x | @ | -inf | ((* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 99229/100000 (* x 4481/100000)) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x 27061/100000) (* x 4481/100000)) |
| 1.0ms | x | @ | 0 | ((* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 99229/100000 (* x 4481/100000)) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x 27061/100000) (* x 4481/100000)) |
| 1× | egg-herbie |
| 9 072× | lower-fma.f64 |
| 9 072× | lower-fma.f32 |
| 2 932× | lower-*.f64 |
| 2 932× | lower-*.f32 |
| 1 740× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 500 |
| 1 | 369 | 492 |
| 2 | 855 | 484 |
| 3 | 2057 | 468 |
| 4 | 5201 | 468 |
| 0 | 8086 | 417 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
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))) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(/ 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) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 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) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 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 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 (-.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) x) #s(literal -1913510371/448100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(* 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)) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/ 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 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 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 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) x) #s(literal -1913510371/448100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(* 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)) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/ 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 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 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 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
| 7 938× | lower-fma.f64 |
| 7 938× | lower-fma.f32 |
| 5 804× | lower-*.f32 |
| 5 796× | lower-*.f64 |
| 4 072× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 59 |
| 0 | 25 | 59 |
| 1 | 102 | 59 |
| 2 | 825 | 59 |
| 0 | 8584 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 70711/100000 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 #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 #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)) |
| Outputs |
|---|
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Compiled 13 606 to 2 032 computations (85.1% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 13 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 467 | 13 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
| 99.9% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| ▶ | 70.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
| 99.7% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) | |
| 70.3% | (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 70711/100000 binary64))) | |
| 60.7% | (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 70711/100000 binary64))) | |
| ▶ | 99.8% | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| 48.0% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) | |
| ▶ | 46.3% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| 54.0% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) | |
| 56.4% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) | |
| 56.7% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| ▶ | 45.1% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
Compiled 464 to 338 computations (27.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) | |
| cost-diff | 128 | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) | |
| cost-diff | 0 | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) | |
| cost-diff | 0 | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
| 5 616× | lower-fma.f32 |
| 5 598× | lower-fma.f64 |
| 2 398× | lower-*.f32 |
| 2 388× | lower-*.f64 |
| 1 238× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 359 |
| 0 | 83 | 350 |
| 1 | 132 | 350 |
| 2 | 215 | 350 |
| 3 | 426 | 348 |
| 4 | 770 | 348 |
| 5 | 1425 | 348 |
| 6 | 2871 | 348 |
| 7 | 5717 | 348 |
| 8 | 7088 | 348 |
| 9 | 7925 | 348 |
| 0 | 8020 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
x |
#s(literal -230753/100000 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(literal 70711/100000 binary64) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(literal 16316775383/10000000000 binary64) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
x |
#s(literal -2134856267379707/1000000000000000 binary64) |
#s(literal 16316775383/10000000000 binary64) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(literal 70711/100000 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) |
(-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) |
#s(literal -4481/100000 binary64) |
x |
#s(literal -99229/100000 binary64) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
#s(literal -2 binary64) |
(*.f64 x x) |
#s(literal 70711/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
x |
#s(literal -230753/100000 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
(/.f64 #s(literal -70711/100000 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(literal 70711/100000 binary64) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(literal 16316775383/10000000000 binary64) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
x |
#s(literal -2134856267379707/1000000000000000 binary64) |
#s(literal 16316775383/10000000000 binary64) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(literal 70711/100000 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) #s(literal -2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) #s(literal -2 binary64))) #s(literal -70711/100000 binary64)) |
(-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) |
#s(literal -4481/100000 binary64) |
x |
#s(literal -99229/100000 binary64) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
#s(literal -2 binary64) |
(*.f64 x x) |
#s(literal 70711/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5576362793053261 | (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 19.007109406955657 | (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) | |
| accuracy | 19.405869364337295 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 0.1015625 | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.23046875 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.078125 | (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) | |
| accuracy | 0.265625 | (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) | |
| accuracy | 34.344872986819695 | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) | |
| accuracy | 35.12462615449752 | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) | |
| accuracy | 0.140625 | (*.f64 #s(literal -70711/100000 binary64) x) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.23046875 | (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) | |
| accuracy | 0.9998506734627342 | (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
| 169.0ms | 256× | 0 | valid |
Compiled 410 to 60 computations (85.4% saved)
const: 49.0ms (35.6% of total)ival-mult: 48.0ms (34.8% of total)ival-add: 23.0ms (16.7% of total)ival-div: 9.0ms (6.5% of total)ival-sub: 4.0ms (2.9% of total)ival-pow: 3.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) (patch #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) (patch #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) (patch (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) (patch (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (patch (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 16316775383/10000000000 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -70711/100000 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 7016581819/10000000000 x) 70711/100000) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 7016581819/10000000000 (* -664562798217551/1000000000000000 x))) 70711/100000) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 7016581819/10000000000 (* x (- (* 62799771591235468179/100000000000000000000 x) 664562798217551/1000000000000000)))) 70711/100000) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -27061/100000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -27061/100000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -27061/100000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 99229/100000 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 732297721/20079361 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 4481/27061 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -27061/4481 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((+ (* (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000)) (* -70711/100000 x)) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) (* (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) 70711/100000) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (+ (* 4481/100000 x) 99229/100000) (* -70711/100000 x) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) |
| 3.0ms | x | @ | inf | ((+ (* (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000)) (* -70711/100000 x)) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) (* (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) 70711/100000) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (+ (* 4481/100000 x) 99229/100000) (* -70711/100000 x) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) |
| 3.0ms | x | @ | -inf | ((+ (* (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000)) (* -70711/100000 x)) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) (* (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) 70711/100000) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (+ (* 4481/100000 x) 99229/100000) (* -70711/100000 x) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) |
| 1× | egg-herbie |
| 8 160× | lower-fma.f64 |
| 8 160× | lower-fma.f32 |
| 4 030× | lower-*.f64 |
| 4 030× | lower-*.f32 |
| 3 502× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 2093 |
| 1 | 1332 | 2062 |
| 2 | 3233 | 2002 |
| 3 | 7894 | 2002 |
| 0 | 8948 | 1867 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
-70711/100000 |
(- (* 7016581819/10000000000 x) 70711/100000) |
(- (* x (+ 7016581819/10000000000 (* -664562798217551/1000000000000000 x))) 70711/100000) |
(- (* x (+ 7016581819/10000000000 (* x (- (* 62799771591235468179/100000000000000000000 x) 664562798217551/1000000000000000)))) 70711/100000) |
-230753/100000 |
(- (* -27061/100000 x) 230753/100000) |
(- (* -27061/100000 x) 230753/100000) |
(- (* -27061/100000 x) 230753/100000) |
-1 |
(- (* 99229/100000 x) 1) |
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1) |
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
-2134856267379707/1000000000000000 |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
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))) |
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))) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
3765144869953399/1000000000000000 |
(+ 3765144869953399/1000000000000000 (* -329456734436669529371/50000000000000000000 x)) |
(+ 3765144869953399/1000000000000000 (* x (- (* 83765939897640380893364877/10000000000000000000000000 x) 329456734436669529371/50000000000000000000))) |
(+ 3765144869953399/1000000000000000 (* x (- (* x (+ 83765939897640380893364877/10000000000000000000000000 (* -2820931944132139737516928826611/250000000000000000000000000000 x))) 329456734436669529371/50000000000000000000))) |
53246947009/10000000000 |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(+ 53246947009/10000000000 (* x (- (* 1184623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1184623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
53246947009/10000000000 |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(+ 53246947009/10000000000 (* x (- (* 1284623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1284623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
100000/230753 |
(+ 100000/230753 (* 20191289437/53246947009 x)) |
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x)))) |
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777))))) |
-230753/100000 |
(- (* 20191289437/10000000000 x) 230753/100000) |
(- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(/ -70711/4481 (pow x 2)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) 70711/4481) (pow x 2)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) (+ 70711/4481 (/ 664562798217551/89975616641 (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 7016581819/20079361 (/ 1 x)) (* 62799771591235468179/403180738168321 (/ 1 (pow x 3)))) (+ 70711/4481 (/ 664562798217551/89975616641 (pow x 2)))) (pow x 2)) |
(* -27061/100000 x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(/ -100000/4481 (pow x 2)) |
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2)) |
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2)) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* 134362287316698645903/100000000000000000000 x) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -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))))) |
(/ 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) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 (pow x 2)) |
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000)) |
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5))))) |
(* (pow x 2) (- (+ (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (* 24170290557664624615672/1259939806776003125 (/ 1 (pow x 6)))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* (pow x 2) (- (+ (* 732297721/20079361 (/ 1 (pow x 4))) (* 10938175076653816064/403180738168321 (/ 1 (pow x 6)))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(/ 732297721/20079361 (pow x 2)) |
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (+ (* 89367966180672/89975616641 (/ 1 x)) (* 1275847058519881085384960/1806652887732246401 (/ 1 (pow x 3))))) (pow x 2)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* 4481/27061 x) |
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) |
(* x (- (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))) (/ 307796913907328/19816708627981 (pow x 2)))) |
(* x (- (+ 4481/27061 (+ (* 1651231776/732297721 (/ 1 x)) (* 71025061274857657984/536259952181793841 (/ 1 (pow x 3))))) (/ 307796913907328/19816708627981 (pow x 2)))) |
(/ -27061/4481 x) |
(/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x) |
(/ (- (* 1651231776/20079361 (/ 1 x)) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x) |
(/ (- (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3)))) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(/ -70711/4481 (pow x 2)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) 70711/4481) (pow x 2)) |
(/ (- (* -1 (/ (- (* 664562798217551/89975616641 (/ 1 x)) 7016581819/20079361) x)) 70711/4481) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 62799771591235468179/403180738168321 (/ 1 x)) 664562798217551/89975616641) x)) 7016581819/20079361) x)) 70711/4481) (pow x 2)) |
(* -27061/100000 x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(/ -100000/4481 (pow x 2)) |
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2)) |
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2)) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* 134362287316698645903/100000000000000000000 x) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -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)))))) |
(/ 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) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -70711/100000 (pow x 2)) |
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000)) |
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5))))) |
(* (pow x 2) (- (+ (* -1 (/ (- 197478070518796806/281173802003125 (* 24170290557664624615672/1259939806776003125 (/ 1 x))) (pow x 5))) (* 51781504149631/2007936100000 (/ 1 (pow x 4)))) 70711/100000)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) |
(/ 732297721/20079361 (pow x 2)) |
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* 4481/27061 x) |
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061))) |
(* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061))) |
(/ -27061/4481 x) |
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) x)) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
-70711/100000 |
#s(literal -70711/100000 binary64) |
(- (* 7016581819/10000000000 x) 70711/100000) |
(fma.f64 #s(literal 7016581819/10000000000 binary64) x #s(literal -70711/100000 binary64)) |
(- (* x (+ 7016581819/10000000000 (* -664562798217551/1000000000000000 x))) 70711/100000) |
(fma.f64 (fma.f64 #s(literal -664562798217551/1000000000000000 binary64) x #s(literal 7016581819/10000000000 binary64)) x #s(literal -70711/100000 binary64)) |
(- (* x (+ 7016581819/10000000000 (* x (- (* 62799771591235468179/100000000000000000000 x) 664562798217551/1000000000000000)))) 70711/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 62799771591235468179/100000000000000000000 binary64) x #s(literal -664562798217551/1000000000000000 binary64)) x #s(literal 7016581819/10000000000 binary64)) x #s(literal -70711/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* -27061/100000 x) 230753/100000) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* -27061/100000 x) 230753/100000) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* -27061/100000 x) 230753/100000) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 99229/100000 x) 1) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1) |
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 888118844185989/1000000000000000 binary64) x #s(literal -9398294441/10000000000 binary64)) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
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-230753/100000 |
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(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x) |
(* 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)) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -70711/100000 binary64)) x) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))) (neg.f64 x)) |
(* -70711/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -70711/100000 binary64)) |
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 51781504149631/2007936100000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 70711/100000 binary64)) x) x) |
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 51781504149631/2007936100000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 197478070518796806/281173802003125 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- 197478070518796806/281173802003125 (* 24170290557664624615672/1259939806776003125 (/ 1 x))) (pow x 5))) (* 51781504149631/2007936100000 (/ 1 (pow x 4)))) 70711/100000)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 51781504149631/2007936100000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 197478070518796806/281173802003125 binary64) (/.f64 #s(literal 24170290557664624615672/1259939806776003125 binary64) x)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 70711/100000 binary64)) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 89367966180672/89975616641 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 #s(literal 10938175076653816064/403180738168321 binary64) x)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (*.f64 x x)) |
(/ 732297721/20079361 (pow x 2)) |
(/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) |
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 89367966180672/89975616641 binary64) x)) x) x) |
(/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 #s(literal 10938175076653816064/403180738168321 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 (-.f64 #s(literal 10938175076653816064/403180738168321 binary64) (/.f64 #s(literal 1275847058519881085384960/1806652887732246401 binary64) x)) x)) x)) x) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* 4481/27061 x) |
(*.f64 #s(literal 4481/27061 binary64) x) |
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) |
(fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061))) |
(*.f64 (-.f64 #s(literal -4481/27061 binary64) (/.f64 (-.f64 #s(literal 1651231776/732297721 binary64) (/.f64 #s(literal 307796913907328/19816708627981 binary64) x)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061))) |
(*.f64 (-.f64 #s(literal -4481/27061 binary64) (/.f64 (-.f64 #s(literal 1651231776/732297721 binary64) (/.f64 (-.f64 #s(literal 307796913907328/19816708627981 binary64) (/.f64 #s(literal 71025061274857657984/536259952181793841 binary64) x)) x)) x)) (neg.f64 x)) |
(/ -27061/4481 x) |
(/.f64 #s(literal -27061/4481 binary64) x) |
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) 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) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) 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) |
| 4 306× | lower-/.f32 |
| 4 296× | lower-/.f64 |
| 3 660× | lower-*.f32 |
| 3 650× | lower-*.f64 |
| 2 930× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 266 |
| 0 | 83 | 256 |
| 1 | 390 | 256 |
| 2 | 2886 | 256 |
| 0 | 8244 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) |
(-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
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Compiled 30 074 to 3 251 computations (89.2% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 930 | 10 | 940 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 937 | 16 | 953 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.9% | (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
| ▶ | 99.9% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
| 55.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) | |
| 26.6% | (/.f64 #s(approx (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) | |
| 99.7% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) | |
| ▶ | 70.3% | (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
| 60.8% | (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #s(literal 70711/100000 binary64)) | |
| ✓ | 99.8% | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| ▶ | 46.3% | (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
| 48.0% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) | |
| 54.0% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) | |
| ▶ | 56.7% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
| ✓ | 46.3% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| 56.4% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) | |
| 23.5% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) | |
| ✓ | 45.1% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
Compiled 604 to 369 computations (38.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) | |
| cost-diff | 9664 | (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -70711/100000 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
| 10 488× | lower-fma.f32 |
| 10 464× | lower-fma.f64 |
| 3 700× | lower-*.f32 |
| 3 692× | lower-*.f64 |
| 2 560× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 383 |
| 0 | 103 | 361 |
| 1 | 158 | 361 |
| 2 | 235 | 361 |
| 3 | 466 | 361 |
| 4 | 863 | 359 |
| 5 | 1923 | 359 |
| 6 | 6566 | 359 |
| 0 | 8167 | 357 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(literal 70711/100000 binary64) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
x |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
#s(literal 1900161040244073/1000000000000000 binary64) |
x |
#s(literal -30191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
#s(literal 70711/100000 binary64) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
x |
#s(literal -230753/100000 binary64) |
#s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
#s(literal -70711/4481 binary64) |
(*.f64 x x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) |
#s(literal -4481/100000 binary64) |
#s(literal -99229/100000 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
#s(literal 70711/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal -1913510371/10000000000 binary64) x #s(literal -16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(literal 70711/100000 binary64) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
x |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
#s(literal 1900161040244073/1000000000000000 binary64) |
x |
#s(literal -30191289437/10000000000 binary64) |
#s(literal 230753/100000 binary64) |
#s(literal 70711/100000 binary64) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
x |
#s(literal -230753/100000 binary64) |
#s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
#s(literal -70711/4481 binary64) |
(*.f64 x x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
#s(literal -70711/100000 binary64) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal -1913510371/10000000000 binary64) x #s(literal -16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) |
#s(literal -4481/100000 binary64) |
#s(literal -99229/100000 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
#s(literal 70711/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.53515625 | (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) | |
| accuracy | 19.405869364337295 | (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) | |
| accuracy | 0.140625 | (*.f64 #s(literal -70711/100000 binary64) x) | |
| accuracy | 0.23046875 | (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) | |
| accuracy | 1.0643041325835734 | (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) | |
| accuracy | 27.965256191279977 | #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) | |
| accuracy | 0.0625 | (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) | |
| accuracy | 0.1015625 | (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) | |
| accuracy | 34.34416496748178 | #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) | |
| accuracy | 0.140625 | (*.f64 #s(literal -70711/100000 binary64) x) | |
| accuracy | 27.66244484233486 | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| accuracy | 0.140625 | (*.f64 #s(literal -70711/100000 binary64) x) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.23046875 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
| 205.0ms | 256× | 0 | valid |
Compiled 419 to 66 computations (84.2% saved)
ival-add: 55.0ms (33% of total)const: 43.0ms (25.8% of total)ival-mult: 37.0ms (22.2% of total)ival-div: 16.0ms (9.6% of total)ival-sub: 6.0ms (3.6% of total)ival-pow: 5.0ms (3% of total)ival-pow2: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (patch #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 16316775383/10000000000 (taylor 0 x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 16316775383/10000000000 (taylor 0 x) (#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) (taylor 0 x) (#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -70711/100000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -70711/100000 binary64) x) (patch (*.f64 #s(literal -70711/100000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 16316775383/10000000000 (taylor 0 x) (#s(alt (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (patch (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ (* (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (* -70711/100000 x)) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (* -70711/100000 x) (* (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) 70711/100000) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (+ (* (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) (+ (* (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000)) (* -70711/100000 x)) (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/ -70711/4481 (* x x)) (* (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (/ 70711/100000 (- x (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (neg x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) |
| 3.0ms | x | @ | 0 | ((+ (* (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (* -70711/100000 x)) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (* -70711/100000 x) (* (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) 70711/100000) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (+ (* (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) (+ (* (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000)) (* -70711/100000 x)) (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/ -70711/4481 (* x x)) (* (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (/ 70711/100000 (- x (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (neg x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (* -70711/100000 x)) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (* -70711/100000 x) (* (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) 70711/100000) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (+ (* (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) (+ (* (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000)) (* -70711/100000 x)) (+ (* -27061/100000 x) -230753/100000) (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/ -70711/4481 (* x x)) (* (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (/ 70711/100000 (- x (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (neg x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) |
| 1× | egg-herbie |
| 9 820× | lower-fma.f64 |
| 9 820× | lower-fma.f32 |
| 3 930× | lower-*.f64 |
| 3 930× | lower-*.f32 |
| 2 784× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 1995 |
| 1 | 981 | 1968 |
| 2 | 2424 | 1902 |
| 3 | 5959 | 1902 |
| 0 | 8397 | 1768 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
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))) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
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))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
-30191289437/10000000000 |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
-230753/100000 |
(- (* -27061/100000 x) 230753/100000) |
(- (* -27061/100000 x) 230753/100000) |
(- (* -27061/100000 x) 230753/100000) |
-70711/100000 |
(- (* 7016581819/10000000000 x) 70711/100000) |
(- (* x (+ 7016581819/10000000000 (* -664562798217551/1000000000000000 x))) 70711/100000) |
(- (* x (+ 7016581819/10000000000 (* x (- (* 62799771591235468179/100000000000000000000 x) 664562798217551/1000000000000000)))) 70711/100000) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
53246947009/10000000000 |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(+ 53246947009/10000000000 (* x (- (* 1184623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1184623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
53246947009/10000000000 |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(+ 53246947009/10000000000 (* x (- (* 1284623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1284623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
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))) |
-230753/100000 |
(- (* 20191289437/10000000000 x) 230753/100000) |
(- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(/ 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) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -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))))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 x) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -27061/100000 x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(/ -70711/4481 (pow x 2)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) 70711/4481) (pow x 2)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) (+ 70711/4481 (/ 664562798217551/89975616641 (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 7016581819/20079361 (/ 1 x)) (* 62799771591235468179/403180738168321 (/ 1 (pow x 3)))) (+ 70711/4481 (/ 664562798217551/89975616641 (pow x 2)))) (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* (pow x 2) (- (+ (* 732297721/20079361 (/ 1 (pow x 4))) (* 10938175076653816064/403180738168321 (/ 1 (pow x 6)))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 732297721/20079361 (pow x 2)) |
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (+ (* 89367966180672/89975616641 (/ 1 x)) (* 1275847058519881085384960/1806652887732246401 (/ 1 (pow x 3))))) (pow x 2)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(/ 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) |
(/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x) |
(/ (- (* 1651231776/20079361 (/ 1 x)) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x) |
(/ (- (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3)))) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(/ 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) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -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)))))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* 1900161040244073/1000000000000000 x) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -27061/100000 x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(/ -70711/4481 (pow x 2)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) 70711/4481) (pow x 2)) |
(/ (- (* -1 (/ (- (* 664562798217551/89975616641 (/ 1 x)) 7016581819/20079361) x)) 70711/4481) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 62799771591235468179/403180738168321 (/ 1 x)) 664562798217551/89975616641) x)) 7016581819/20079361) x)) 70711/4481) (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(/ -70711/4481 (pow x 2)) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 732297721/20079361 (pow x 2)) |
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 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) |
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) x)) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 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 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
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 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
-30191289437/10000000000 |
#s(literal -30191289437/10000000000 binary64) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* -27061/100000 x) 230753/100000) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* -27061/100000 x) 230753/100000) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* -27061/100000 x) 230753/100000) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
-70711/100000 |
#s(literal -70711/100000 binary64) |
(- (* 7016581819/10000000000 x) 70711/100000) |
(fma.f64 #s(literal 7016581819/10000000000 binary64) x #s(literal -70711/100000 binary64)) |
(- (* x (+ 7016581819/10000000000 (* -664562798217551/1000000000000000 x))) 70711/100000) |
(fma.f64 (fma.f64 #s(literal -664562798217551/1000000000000000 binary64) x #s(literal 7016581819/10000000000 binary64)) x #s(literal -70711/100000 binary64)) |
(- (* x (+ 7016581819/10000000000 (* x (- (* 62799771591235468179/100000000000000000000 x) 664562798217551/1000000000000000)))) 70711/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 62799771591235468179/100000000000000000000 binary64) x #s(literal -664562798217551/1000000000000000 binary64)) x #s(literal 7016581819/10000000000 binary64)) x #s(literal -70711/100000 binary64)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
53246947009/10000000000 |
#s(literal 53246947009/10000000000 binary64) |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(fma.f64 #s(literal -4659200611456061/500000000000000 binary64) x #s(literal 53246947009/10000000000 binary64)) |
(+ 53246947009/10000000000 (* x (- (* 1184623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(fma.f64 (fma.f64 #s(literal 1184623890167588930907/100000000000000000000 binary64) x #s(literal -4659200611456061/500000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64)) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1184623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -39893820538984595572356901/2500000000000000000000000 binary64) x #s(literal 1184623890167588930907/100000000000000000000 binary64)) x #s(literal -4659200611456061/500000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
53246947009/10000000000 |
#s(literal 53246947009/10000000000 binary64) |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(fma.f64 #s(literal -4659200611456061/500000000000000 binary64) x #s(literal 53246947009/10000000000 binary64)) |
(+ 53246947009/10000000000 (* x (- (* 1284623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(fma.f64 (fma.f64 #s(literal 1284623890167588930907/100000000000000000000 binary64) x #s(literal -4659200611456061/500000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64)) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1284623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -39893820538984595572356901/2500000000000000000000000 binary64) x #s(literal 1284623890167588930907/100000000000000000000 binary64)) x #s(literal -4659200611456061/500000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 20191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 20191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 20191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 20191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(*.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) x) |
(/ 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 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) |
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(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) x) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) x (neg.f64 x)) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))) x) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 230753/100000 binary64) x) x) #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 230753/100000 binary64) x) x) #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x) |
(* 1900161040244073/1000000000000000 x) |
(*.f64 #s(literal 1900161040244073/1000000000000000 binary64) x) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) x) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) x) |
(* -27061/100000 x) |
(*.f64 #s(literal -27061/100000 binary64) x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ (- (* 7016581819/20079361 (/ 1 x)) 70711/4481) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 7016581819/20079361 binary64) x) #s(literal 70711/4481 binary64)) x) x) |
(/ (- (* -1 (/ (- (* 664562798217551/89975616641 (/ 1 x)) 7016581819/20079361) x)) 70711/4481) (pow x 2)) |
(/.f64 (-.f64 #s(literal -70711/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 664562798217551/89975616641 binary64) x) #s(literal 7016581819/20079361 binary64)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 62799771591235468179/403180738168321 (/ 1 x)) 664562798217551/89975616641) x)) 7016581819/20079361) x)) 70711/4481) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -70711/4481 binary64) (/.f64 (-.f64 #s(literal -7016581819/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 62799771591235468179/403180738168321 binary64) x) #s(literal 664562798217551/89975616641 binary64)) x)) x)) x) x) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(/ -70711/4481 (pow x 2)) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(* -70711/100000 x) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) x) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 89367966180672/89975616641 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 #s(literal 10938175076653816064/403180738168321 binary64) x)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 732297721/20079361 (pow x 2)) |
(/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) |
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 89367966180672/89975616641 binary64) x)) x) x) |
(/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 #s(literal 10938175076653816064/403180738168321 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 (-.f64 #s(literal 10938175076653816064/403180738168321 binary64) (/.f64 #s(literal 1275847058519881085384960/1806652887732246401 binary64) x)) x)) x)) x) x) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/ 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 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ -27061/4481 x) |
(/.f64 #s(literal -27061/4481 binary64) x) |
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) 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) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) 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) |
| 4 344× | lower-*.f32 |
| 4 336× | lower-*.f64 |
| 3 826× | lower-/.f32 |
| 3 816× | lower-/.f64 |
| 3 672× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 287 |
| 0 | 103 | 283 |
| 1 | 428 | 283 |
| 2 | 3010 | 283 |
| 0 | 8640 | 283 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(literal -70711/100000 binary64) x) |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) |
(/.f64 #s(literal -70711/4481 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 x) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
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Compiled 31 447 to 2 916 computations (90.7% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 3 | 952 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 953 | 15 | 968 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
| 56.4% | (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| 70.3% | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #s(literal 100000/70711 binary64))) | |
| 26.6% | (/.f64 #s(approx (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) | |
| ▶ | 99.7% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
| ✓ | 99.8% | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| ✓ | 46.3% | (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
| ▶ | 26.6% | (*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
| ▶ | 48.0% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| ▶ | 54.0% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| ✓ | 56.7% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
| ✓ | 46.3% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| 56.4% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) | |
| ▶ | 23.5% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
| ✓ | 45.1% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
Compiled 341 to 270 computations (20.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x)) | |
| cost-diff | 0 | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) | |
| cost-diff | 320 | (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) | |
| cost-diff | 832 | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) | |
| cost-diff | 1216 | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
| 8 032× | lower-fma.f32 |
| 8 014× | lower-fma.f64 |
| 3 442× | lower-*.f32 |
| 3 434× | lower-*.f64 |
| 1 604× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 453 |
| 0 | 114 | 444 |
| 1 | 182 | 442 |
| 2 | 274 | 442 |
| 3 | 504 | 436 |
| 4 | 867 | 426 |
| 5 | 1948 | 424 |
| 6 | 5007 | 424 |
| 0 | 8133 | 411 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
#s(literal 70711/100000 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
x |
#s(literal -2134856267379707/1000000000000000 binary64) |
#s(literal 16316775383/10000000000 binary64) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) |
#s(literal -12692862305735843227608787/10000000000000000000000000 binary64) |
x |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
#s(literal -2134856267379707/1000000000000000 binary64) |
#s(literal 16316775383/10000000000 binary64) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
#s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) |
(fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x x) |
x |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
#s(literal -2134856267379707/1000000000000000 binary64) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
#s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
#s(literal 70711/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 #s(literal -1913510371/10000000000 binary64) x #s(literal -16316775383/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)))) |
#s(literal 70711/100000 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) x)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(-.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
x |
#s(literal 230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) |
x |
#s(literal -2134856267379707/1000000000000000 binary64) |
#s(literal 16316775383/10000000000 binary64) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) |
#s(literal -12692862305735843227608787/10000000000000000000000000 binary64) |
x |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
#s(literal -2134856267379707/1000000000000000 binary64) |
#s(literal 16316775383/10000000000 binary64) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)))) |
#s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x)) |
#s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) x) #s(literal -2134856267379707/1000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x x) |
x |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
#s(literal -2134856267379707/1000000000000000 binary64) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x))) |
#s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
#s(literal 70711/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
#s(literal -27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 19.405869364337295 | (*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) | |
| accuracy | 27.975961568606447 | #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) | |
| accuracy | 0.20703125 | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) | |
| accuracy | 0.9201066313621582 | (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) | |
| accuracy | 14.35195448989195 | (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) | |
| accuracy | 34.344872986819695 | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) | |
| accuracy | 0.09765625 | (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) | |
| accuracy | 33.28272817616226 | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) | |
| accuracy | 0.16015625 | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) | |
| accuracy | 29.443683012290887 | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) | |
| accuracy | 0.15234375 | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) | |
| accuracy | 0.23046875 | (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) | |
| accuracy | 18.968018087793237 | (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
| 276.0ms | 256× | 0 | valid |
Compiled 440 to 80 computations (81.8% saved)
ival-add: 99.0ms (40.1% of total)ival-mult: 73.0ms (29.6% of total)const: 44.0ms (17.8% of total)ival-div: 18.0ms (7.3% of total)ival-sub: 6.0ms (2.4% of total)ival-pow2: 3.0ms (1.2% of total)ival-pow: 3.0ms (1.2% of total)ival-neg: 1.0ms (0.4% 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 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) (patch (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (patch (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) (patch #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) (patch (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) (patch (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) (patch (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) (patch #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x)) (patch #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (patch #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<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>) () ()) |
| Outputs |
|---|
#s(alt 16316775383/10000000000 (taylor 0 x) (#s(alt (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) (patch (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) (patch (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) (patch (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) (taylor 0 x) (#s(alt (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) (patch (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt 100000/230753 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100000/230753 (* 30191289437/53246947009 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ 70711/100000 (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x))) (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (+ (* (+ (* (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (+ (* (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) (* (+ (* (+ (/ 16316775383/10000000000 (* x x)) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) x) (+ (* (+ (/ 16316775383/10000000000 (* x x)) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (* (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (/ 70711/100000 (- x (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (* (neg x) x) (neg x) (+ (* 27061/100000 x) 230753/100000) (+ (* 4481/100000 x) 99229/100000) (/ 16316775383/10000000000 (* x x)) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* x -27061/100000) -230753/100000)) |
| 2.0ms | x | @ | inf | ((/ 70711/100000 (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x))) (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (+ (* (+ (* (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (+ (* (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) (* (+ (* (+ (/ 16316775383/10000000000 (* x x)) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) x) (+ (* (+ (/ 16316775383/10000000000 (* x x)) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (* (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (/ 70711/100000 (- x (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (* (neg x) x) (neg x) (+ (* 27061/100000 x) 230753/100000) (+ (* 4481/100000 x) 99229/100000) (/ 16316775383/10000000000 (* x x)) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* x -27061/100000) -230753/100000)) |
| 2.0ms | x | @ | 0 | ((/ 70711/100000 (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x))) (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (+ (* (+ (* (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (+ (* (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) (+ (* -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) (* (+ (* (+ (/ 16316775383/10000000000 (* x x)) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) x) (+ (* (+ (/ 16316775383/10000000000 (* x x)) 134362287316698645903/100000000000000000000) x) -2134856267379707/1000000000000000) (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (* (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (/ 70711/100000 (- x (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (* (neg x) x) (neg x) (+ (* 27061/100000 x) 230753/100000) (+ (* 4481/100000 x) 99229/100000) (/ 16316775383/10000000000 (* x x)) (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* x -27061/100000) -230753/100000)) |
| 1× | egg-herbie |
| 8 758× | lower-fma.f64 |
| 8 758× | lower-fma.f32 |
| 3 932× | lower-*.f64 |
| 3 932× | lower-*.f32 |
| 3 308× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 2190 |
| 1 | 977 | 2124 |
| 2 | 2630 | 2090 |
| 3 | 7239 | 2090 |
| 0 | 8362 | 1919 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
100000/230753 |
(+ 100000/230753 (* 30191289437/53246947009 x)) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x)))) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 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))) |
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))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
-2134856267379707/1000000000000000 |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000) |
(- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000) |
134362287316698645903/100000000000000000000 |
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)) |
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)) |
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(/ 16316775383/10000000000 x) |
(/ (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) x) |
(/ (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) x) |
(/ (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) x) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
53246947009/10000000000 |
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x)) |
(+ 53246947009/10000000000 (* x (- (* 1184623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000))) |
(+ 53246947009/10000000000 (* x (- (* x (+ 1184623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
-230753/100000 |
(- (* 20191289437/10000000000 x) 230753/100000) |
(- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
-230753/100000 |
(- (* -27061/100000 x) 230753/100000) |
(- (* -27061/100000 x) 230753/100000) |
(- (* -27061/100000 x) 230753/100000) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)) |
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x) |
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x) |
(* -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))))) |
(/ 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) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -2134856267379707/1000000000000000 x) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -12692862305735843227608787/10000000000000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000)) |
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* (pow x 3) (- (+ (* 134362287316698645903/100000000000000000000 (/ 1 x)) (* 16316775383/10000000000 (/ 1 (pow x 3)))) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* -12692862305735843227608787/10000000000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000)) |
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* -12692862305735843227608787/10000000000000000000000000 x) |
(* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000)) |
(* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000)) |
(* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000)) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* 134362287316698645903/100000000000000000000 x) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* x (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* x (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* (pow x 2) (- (+ (* 732297721/20079361 (/ 1 (pow x 4))) (* 10938175076653816064/403180738168321 (/ 1 (pow x 6)))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ -27061/4481 x) |
(/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x) |
(/ (- (* 1651231776/20079361 (/ 1 x)) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x) |
(/ (- (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3)))) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x) |
(* -27061/100000 x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x)) |
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x)) |
(* -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)))))) |
(/ 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)) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -2134856267379707/1000000000000000 x) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -12692862305735843227608787/10000000000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))) x))))) |
(* -12692862305735843227608787/10000000000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000) x)) 12692862305735843227608787/10000000000000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000) x)) 12692862305735843227608787/10000000000000000000000000)) |
(* -12692862305735843227608787/10000000000000000000000000 x) |
(* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x))))) |
(* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x))))) |
(* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x))))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* 134362287316698645903/100000000000000000000 x) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
(* -1 (* x (- (* -1 (/ (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000) x)) 134362287316698645903/100000000000000000000))) |
(* -1 (* x (- (* -1 (/ (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000) x)) 134362287316698645903/100000000000000000000))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/ -27061/4481 x) |
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) x)) |
(* -27061/100000 x) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
100000/230753 |
#s(literal 100000/230753 binary64) |
(+ 100000/230753 (* 30191289437/53246947009 x)) |
(fma.f64 #s(literal 30191289437/53246947009 binary64) x #s(literal 100000/230753 binary64)) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x)))) |
(fma.f64 (fma.f64 #s(literal 4730460973492672/12286892763167777 binary64) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1060196761744488379977/2835237365779254046081 binary64) x #s(literal 4730460973492672/12286892763167777 binary64)) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 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 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
-2134856267379707/1000000000000000 |
#s(literal -2134856267379707/1000000000000000 binary64) |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000) |
(fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000) |
(fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
134362287316698645903/100000000000000000000 |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) |
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) |
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(/ 16316775383/10000000000 x) |
(/.f64 #s(literal 16316775383/10000000000 binary64) x) |
(/ (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) x) |
(/.f64 (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) x) |
(/ (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) x) |
(/ (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) x) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
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(*.f64 (fma.f64 (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -70711/100000 binary64)) x) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal 3648757816023/62748003125 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))) (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 89367966180672/89975616641 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1)) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 89367966180672/89975616641 binary64) (/.f64 #s(literal 10938175076653816064/403180738168321 binary64) x)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 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)) |
(* 4481/100000 x) |
(*.f64 #s(literal 4481/100000 binary64) x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
(/ 16316775383/10000000000 (pow x 2)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
(/ -27061/4481 x) |
(/.f64 #s(literal -27061/4481 binary64) x) |
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) 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) |
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) 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) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
| 5 432× | lower-*.f32 |
| 5 424× | lower-*.f64 |
| 4 526× | lower-fma.f32 |
| 4 508× | lower-fma.f64 |
| 3 232× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 369 |
| 0 | 114 | 360 |
| 1 | 575 | 358 |
| 2 | 3974 | 358 |
| 0 | 9342 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) |
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
(fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x) |
(fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
#s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x)) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
#s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) |
| Outputs |
|---|
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Compiled 19 654 to 2 888 computations (85.3% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 778 | 8 | 786 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 783 | 18 | 801 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
| 56.4% | (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| 26.7% | (/.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #s(literal 100000/70711 binary64))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) #s(literal -1 binary64))) | |
| 70.3% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal -1 binary64))))) | |
| 45.8% | (/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1060196761744488379977/2835237365779254046081 binary64) x #s(literal 4730460973492672/12286892763167777 binary64)) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) | |
| 56.4% | (/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 (-.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))) | |
| 56.5% | (/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 99.8% | (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| ✓ | 46.3% | (*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
| 26.1% | (*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x #s(approx (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal -230753/100000 binary64))))) | |
| ✓ | 48.0% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| ✓ | 54.0% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| 49.8% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (/.f64 (fma.f64 #s(literal 4557611282370415026291715405849/1000000000000000000000000000000 binary64) (*.f64 x x) #s(literal -266237158899274796689/100000000000000000000 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal -16316775383/10000000000 binary64)))) | |
| ✓ | 56.7% | #s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
| ✓ | 46.3% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| 56.4% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) | |
| ✓ | 45.1% | #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
Compiled 933 to 368 computations (60.6% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x #s(approx (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal -230753/100000 binary64))))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (/.f64 (fma.f64 #s(literal 4557611282370415026291715405849/1000000000000000000000000000000 binary64) (*.f64 x x) #s(literal -266237158899274796689/100000000000000000000 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal -16316775383/10000000000 binary64)))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1060196761744488379977/2835237365779254046081 binary64) x #s(literal 4730460973492672/12286892763167777 binary64)) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 (-.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 70711/100000 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)) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(/.f64 #s(approx (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #s(literal 100000/70711 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #s(literal 100000/70711 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 70711/100000 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))) #s(literal 70711/100000 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x (/.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 70711/100000 binary64))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
3 calls:
| 12.0ms | (-.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) |
| 10.0ms | x |
| 9.0ms | (*.f64 #s(literal 70711/100000 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f64 #s(literal 70711/100000 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)) |
| 99.9% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x #s(approx (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal -230753/100000 binary64))))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (/.f64 (fma.f64 #s(literal 4557611282370415026291715405849/1000000000000000000000000000000 binary64) (*.f64 x x) #s(literal -266237158899274796689/100000000000000000000 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal -16316775383/10000000000 binary64)))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1060196761744488379977/2835237365779254046081 binary64) x #s(literal 4730460973492672/12286892763167777 binary64)) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 (-.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 70711/100000 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)) |
| Outputs |
|---|
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
3 calls:
| 7.0ms | x |
| 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) |
| 6.0ms | (*.f64 #s(literal 70711/100000 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f64 #s(literal 70711/100000 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)) |
| 99.9% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x #s(approx (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal -230753/100000 binary64))))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (/.f64 (fma.f64 #s(literal 4557611282370415026291715405849/1000000000000000000000000000000 binary64) (*.f64 x x) #s(literal -266237158899274796689/100000000000000000000 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal -16316775383/10000000000 binary64)))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1060196761744488379977/2835237365779254046081 binary64) x #s(literal 4730460973492672/12286892763167777 binary64)) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
3 calls:
| 6.0ms | x |
| 5.0ms | (-.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) |
| 5.0ms | (*.f64 #s(literal 70711/100000 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 #s(literal 70711/100000 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)) |
| 99.8% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 #s(approx (+ (* (neg x) x) (pow (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1)) 2)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 70711/100000 binary64) (-.f64 x #s(approx (/ (+ (* x -27061/100000) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal -230753/100000 binary64))))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (/.f64 (fma.f64 #s(literal 4557611282370415026291715405849/1000000000000000000000000000000 binary64) (*.f64 x x) #s(literal -266237158899274796689/100000000000000000000 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal -16316775383/10000000000 binary64)))) |
(/.f64 #s(literal 70711/100000 binary64) #s(approx (/ 1 (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1060196761744488379977/2835237365779254046081 binary64) x #s(literal 4730460973492672/12286892763167777 binary64)) x #s(literal 30191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(approx (+ (* (+ (* 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000) x) 16316775383/10000000000) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x)) #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (* (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) 70711/100000) (/.f64 #s(literal -70711/4481 binary64) (*.f64 x x))) (*.f64 #s(literal -70711/100000 binary64) x)) |
| Outputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
3 calls:
| 7.0ms | (-.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) |
| 5.0ms | x |
| 5.0ms | (*.f64 #s(literal 70711/100000 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
| 99.6% | 3 | (*.f64 #s(literal 70711/100000 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)) |
| 99.6% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
(*.f64 #s(approx (- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) |
| Outputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) |
3 calls:
| 5.0ms | x |
| 3.0ms | (*.f64 #s(literal 70711/100000 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)) |
| 3.0ms | (-.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 |
|---|---|---|
| 99.5% | 3 | x |
| 99.5% | 3 | (*.f64 #s(literal 70711/100000 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)) |
| 99.5% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
| Outputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
3 calls:
| 3.0ms | (-.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 | (*.f64 #s(literal 70711/100000 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)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 99.5% | 3 | (*.f64 #s(literal 70711/100000 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)) |
| 99.5% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| Outputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
3 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 | (*.f64 #s(literal 70711/100000 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)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 3 | (*.f64 #s(literal 70711/100000 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)) |
| 99.2% | 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 37 to 31 computations (16.2% saved)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (/ (* (- (pow (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) -2) (* x x)) 70711/100000) (- x (/ (+ (* -27061/100000 x) -230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
| Outputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) |
3 calls:
| 3.0ms | (*.f64 #s(literal 70711/100000 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)) |
| 2.0ms | x |
| 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) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 98.5% | 3 | (*.f64 #s(literal 70711/100000 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)) |
| 98.5% | 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 37 to 31 computations (16.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
| Outputs |
|---|
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
3 calls:
| 1.0ms | (*.f64 #s(literal 70711/100000 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)) |
| 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 |
|---|---|---|
| 45.1% | 1 | x |
| 45.1% | 1 | (*.f64 #s(literal 70711/100000 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)) |
| 45.1% | 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 37 to 31 computations (16.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3077172519441747 | 174969712.68231776 |
| 0.0ms | -56565017.13337235 | 1.904756778538398 |
Compiled 22 to 20 computations (9.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3077172519441747 | 174969712.68231776 |
| 0.0ms | -56565017.13337235 | 1.904756778538398 |
Compiled 22 to 20 computations (9.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3077172519441747 | 174969712.68231776 |
| 0.0ms | -56565017.13337235 | 1.904756778538398 |
Compiled 22 to 20 computations (9.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3077172519441747 | 174969712.68231776 |
| 0.0ms | -56565017.13337235 | 1.904756778538398 |
Compiled 22 to 20 computations (9.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3077172519441747 | 174969712.68231776 |
| 0.0ms | -56565017.13337235 | 1.904756778538398 |
Compiled 22 to 20 computations (9.1% saved)
| 1× | egg-herbie |
| 14× | *-commutative-binary64-*.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 644 |
| 1 | 88 | 644 |
| 2 | 92 | 644 |
| 3 | 94 | 644 |
| 4 | 95 | 644 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (*.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (*.f64 #s(literal -70711/100000 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) (if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) x #s(literal 134362287316698645903/100000000000000000000 binary64)) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))) (if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 (fma.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) x #s(literal -2134856267379707/1000000000000000 binary64)) x #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 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 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal -50000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal 4 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) #s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) (*.f64 #s(literal -70711/100000 binary64) x)))) |
#s(approx (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) #s(literal 16316775383/10000000000 binary64)) |
| 9 072× | lower-fma.f64 |
| 9 072× | lower-fma.f32 |
| 7 938× | lower-fma.f64 |
| 7 938× | lower-fma.f32 |
| 5 804× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 59 |
| 0 | 25 | 59 |
| 1 | 102 | 59 |
| 2 | 825 | 59 |
| 0 | 8584 | 49 |
| 0 | 136 | 500 |
| 1 | 369 | 492 |
| 2 | 855 | 484 |
| 3 | 2057 | 468 |
| 4 | 5201 | 468 |
| 0 | 8086 | 417 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 506 to 165 computations (67.4% saved)
Compiled 718 to 160 computations (77.7% saved)
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