
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 715.0ms | 8 256× | 0 | valid |
const: 313.0ms (59.6% of total)ival-mult: 112.0ms (21.3% of total)ival-add: 44.0ms (8.4% of total)ival-sub: 42.0ms (8% of total)ival-true: 5.0ms (1% of total)exact: 5.0ms (1% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3/25 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3/25 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 0 | 0 | - | 0 | - | #s(literal 253/1000 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 |
| 42.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
const: 13.0ms (44.3% of total)ival-mult: 11.0ms (37.5% of total)ival-sub: 2.0ms (6.8% of total)ival-add: 2.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 584× | lower-fma.f64 |
| 584× | lower-fma.f32 |
| 248× | lower-*.f32 |
| 244× | lower-*.f64 |
| 136× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 36 | 18 |
| 2 | 117 | 18 |
| 3 | 349 | 18 |
| 4 | 613 | 18 |
| 5 | 713 | 18 |
| 6 | 735 | 18 |
| 7 | 743 | 18 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 28 | 9 |
| 2 | 66 | 9 |
| 3 | 131 | 9 |
| 4 | 224 | 9 |
| 5 | 344 | 9 |
| 6 | 479 | 9 |
| 7 | 630 | 9 |
| 8 | 652 | 9 |
| 0 | 652 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 3/25 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) | |
| cost-diff | 128 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 584× | lower-fma.f64 |
| 584× | lower-fma.f32 |
| 248× | lower-*.f32 |
| 244× | lower-*.f64 |
| 136× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 28 | 28 |
| 2 | 66 | 28 |
| 3 | 131 | 28 |
| 4 | 224 | 28 |
| 5 | 344 | 28 |
| 6 | 479 | 28 |
| 7 | 630 | 28 |
| 8 | 652 | 28 |
| 0 | 652 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
x |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
#s(literal 253/1000 binary64) |
(*.f64 x #s(literal 3/25 binary64)) |
#s(literal 3/25 binary64) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
x |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal 253/1000 binary64) |
(*.f64 x #s(literal 3/25 binary64)) |
(*.f64 #s(literal 3/25 binary64) x) |
#s(literal 3/25 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) | |
| accuracy | 0.01171875 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| accuracy | 0.12109375 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) | |
| accuracy | 0.25 | (*.f64 x #s(literal 3/25 binary64)) |
| 24.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
const: 9.0ms (58.2% of total)ival-mult: 3.0ms (19.4% of total)ival-sub: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 253/1000 (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 198.0ms | x | @ | -inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25)) |
| 1.0ms | x | @ | inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25)) |
| 1.0ms | x | @ | 0 | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25)) |
| 1× | egg-herbie |
| 5 044× | lower-fma.f64 |
| 5 044× | lower-fma.f32 |
| 3 774× | lower-*.f64 |
| 3 774× | lower-*.f32 |
| 1 530× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 254 |
| 1 | 93 | 254 |
| 2 | 217 | 248 |
| 3 | 501 | 248 |
| 4 | 1018 | 248 |
| 5 | 2396 | 248 |
| 6 | 4106 | 248 |
| 7 | 5204 | 248 |
| 8 | 6491 | 248 |
| 9 | 7542 | 248 |
| 0 | 8017 | 215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* 3/25 x)) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 3/25 x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* 3/25 x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
253/1000 |
#s(literal 253/1000 binary64) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 253/1000 x) |
(*.f64 #s(literal 253/1000 binary64) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/25 binary64)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/25 binary64)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
| 4 504× | lower-fma.f64 |
| 4 504× | lower-fma.f32 |
| 4 210× | lower-*.f32 |
| 4 206× | lower-*.f64 |
| 2 686× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 55 | 24 |
| 2 | 428 | 24 |
| 3 | 4320 | 24 |
| 0 | 8270 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
(*.f64 x #s(literal 3/25 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))) |
(/.f64 x (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/25 binary64) x)) x (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 3/25 binary64) x) x (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 #s(literal 3/25 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 #s(literal 3/25 binary64) (*.f64 x x) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 #s(literal 253/1000 binary64) x (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 3/25 binary64) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 x #s(literal 253/1000 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))) |
(+.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64)))) |
(*.f64 #s(literal 3/25 binary64) x) |
(*.f64 x #s(literal 3/25 binary64)) |
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x))) |
Compiled 7 090 to 955 computations (86.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 10 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 356 | 10 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) | |
| ▶ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ▶ | 91.3% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
| 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) | |
| ▶ | 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
| 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) | |
| 47.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) | |
| 54.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| ▶ | 53.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ▶ | 45.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 220 to 178 computations (19.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 2 552× | lower-fma.f32 |
| 2 544× | lower-fma.f64 |
| 1 240× | lower-*.f32 |
| 1 230× | lower-*.f64 |
| 478× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 165 |
| 0 | 44 | 165 |
| 1 | 84 | 165 |
| 2 | 159 | 161 |
| 3 | 288 | 161 |
| 4 | 587 | 161 |
| 5 | 1055 | 161 |
| 6 | 1548 | 161 |
| 7 | 2807 | 161 |
| 8 | 3311 | 161 |
| 9 | 3457 | 161 |
| 10 | 3543 | 161 |
| 11 | 3547 | 161 |
| 12 | 3548 | 161 |
| 13 | 3718 | 161 |
| 14 | 3814 | 161 |
| 15 | 3816 | 161 |
| 16 | 3816 | 161 |
| 17 | 3816 | 161 |
| 0 | 3816 | 159 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
x |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
#s(literal -64009/1000000 binary64) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal 3/25 binary64) |
#s(literal -253/1000 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal 3/25 binary64) |
#s(literal -253/1000 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) |
x |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
#s(literal -64009/1000000 binary64) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal 3/25 binary64) |
#s(literal -253/1000 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal 3/25 binary64) |
#s(literal -253/1000 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 9/625 binary64) x) | |
| accuracy | 0.22265625 | (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) | |
| accuracy | 5.635179509027803 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) | |
| accuracy | 0.12109375 | (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 9/625 binary64) x) | |
| accuracy | 16.60555487534145 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| accuracy | 29.467675256365457 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| accuracy | 34.757828712255446 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
| 100.0ms | 256× | 0 | valid |
Compiled 177 to 31 computations (82.5% saved)
const: 36.0ms (44.9% of total)ival-mult: 26.0ms (32.5% of total)ival-sub: 8.0ms (10% of total)ival-add: 5.0ms (6.2% of total)ival-div: 3.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -253/1000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 253/1000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -64009/1000000 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/625 (pow x 2)) 64009/1000000) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/625 (pow x 2)) 64009/1000000) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/625 (pow x 2)) 64009/1000000) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | inf | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)))) (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000))) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000)) (* (+ (* (* 9/625 x) x) -64009/1000000) x) (* 9/625 x) (+ (* 3/25 x) -253/1000)) |
| 30.0ms | x | @ | -inf | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)))) (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000))) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000)) (* (+ (* (* 9/625 x) x) -64009/1000000) x) (* 9/625 x) (+ (* 3/25 x) -253/1000)) |
| 2.0ms | x | @ | 0 | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)))) (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000))) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000)) (* (+ (* (* 9/625 x) x) -64009/1000000) x) (* 9/625 x) (+ (* 3/25 x) -253/1000)) |
| 1× | egg-herbie |
| 5 328× | lower-fma.f64 |
| 5 328× | lower-fma.f32 |
| 3 164× | lower-*.f64 |
| 3 164× | lower-*.f32 |
| 1 878× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 1058 |
| 1 | 159 | 1048 |
| 2 | 417 | 1028 |
| 3 | 985 | 1028 |
| 4 | 2075 | 1028 |
| 5 | 3961 | 1028 |
| 6 | 6738 | 1028 |
| 0 | 8092 | 890 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* 3/25 x)) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* -64009/1000000 x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
-253/1000 |
(- (* 3/25 x) 253/1000) |
(- (* 3/25 x) 253/1000) |
(- (* 3/25 x) 253/1000) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 9/625 (pow x 3)) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 3/25 x) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 9/625 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 3/25 x) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 253/1000 x) |
(*.f64 #s(literal 253/1000 binary64) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
253/1000 |
#s(literal 253/1000 binary64) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
-64009/1000000 |
#s(literal -64009/1000000 binary64) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 253/1000 x) |
(*.f64 #s(literal 253/1000 binary64) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* -64009/1000000 x) |
(*.f64 #s(literal -64009/1000000 binary64) x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* 3/25 x) 253/1000) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* 3/25 x) 253/1000) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* 3/25 x) 253/1000) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 9/625 (pow x 2)) |
(*.f64 #s(literal 9/625 binary64) (*.f64 x x)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 9/625 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9/625 binary64)) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 9/625 (pow x 2)) |
(*.f64 #s(literal 9/625 binary64) (*.f64 x x)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 9/625 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9/625 binary64)) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
| 5 026× | lower-fma.f32 |
| 5 018× | lower-fma.f64 |
| 4 680× | lower-*.f32 |
| 4 670× | lower-*.f64 |
| 4 232× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 0 | 44 | 133 |
| 1 | 200 | 103 |
| 2 | 1529 | 103 |
| 0 | 8098 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(*.f64 #s(literal 9/625 binary64) x) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 x #s(literal -759/25000 binary64))) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 x #s(literal -759/25000 binary64))) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal -64009/1000000 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) (neg.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))))) |
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))) |
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64)) |
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) |
Compiled 18 103 to 1 847 computations (89.8% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 852 | 6 | 858 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 857 | 11 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 99.8% | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 99.8% | (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) | |
| ▶ | 47.8% | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ▶ | 53.3% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) |
| ▶ | 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) |
| ▶ | 54.7% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 53.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| 53.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) | |
| ✓ | 45.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 215 to 172 computations (20% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 6208 | (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) | |
| cost-diff | 1216 | (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
| 3 912× | lower-fma.f32 |
| 3 900× | lower-fma.f64 |
| 1 992× | lower-*.f32 |
| 1 976× | lower-*.f64 |
| 1 056× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 272 |
| 0 | 72 | 276 |
| 1 | 123 | 276 |
| 2 | 265 | 262 |
| 3 | 821 | 249 |
| 4 | 2465 | 249 |
| 5 | 4554 | 249 |
| 6 | 5349 | 249 |
| 7 | 5815 | 249 |
| 8 | 6020 | 249 |
| 9 | 6078 | 249 |
| 10 | 6097 | 249 |
| 11 | 6391 | 249 |
| 12 | 6536 | 249 |
| 13 | 6536 | 249 |
| 14 | 6536 | 249 |
| 15 | 6632 | 249 |
| 16 | 6647 | 249 |
| 17 | 6647 | 249 |
| 18 | 6647 | 249 |
| 19 | 6647 | 249 |
| 20 | 6755 | 249 |
| 21 | 7329 | 249 |
| 22 | 7329 | 249 |
| 0 | 7329 | 241 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) |
#s(literal 1 binary64) |
(*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) |
x |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(literal 64009/1000000 binary64) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
(*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
#s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) |
(*.f64 #s(literal 3/25 binary64) x) |
#s(literal 3/25 binary64) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
x |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(literal 64009/1000000 binary64) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
(*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 #s(literal -9/625 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (*.f64 x x)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
#s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) |
(*.f64 #s(literal 3/25 binary64) x) |
#s(literal 3/25 binary64) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) | |
| accuracy | 0.13671875 | (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.30078125 | (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) | |
| accuracy | 0.22265625 | (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) | |
| accuracy | 0.25 | (*.f64 #s(literal 3/25 binary64) x) | |
| accuracy | 5.635179509027803 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) | |
| accuracy | 29.128723574047967 | #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) | |
| accuracy | 0.12109375 | (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 28.88131259956856 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| accuracy | 0.08203125 | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 33.950265583096446 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| accuracy | 0.17578125 | (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 9/625 binary64) x) | |
| accuracy | 0.21875 | (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 0.35775375976844204 | (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
| 145.0ms | 256× | 0 | valid |
Compiled 278 to 40 computations (85.6% saved)
ival-mult: 73.0ms (59.8% of total)const: 27.0ms (22.1% of total)ival-add: 8.0ms (6.6% of total)ival-div: 5.0ms (4.1% of total)ival-sub: 4.0ms (3.3% of total)ival-pow: 4.0ms (3.3% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (patch (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) (patch #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3/25 binary64) x) (patch (*.f64 #s(literal 3/25 binary64) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 253/1000 (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (patch (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (patch (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (patch (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (patch (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 253/1000 (taylor 0 x) (#s(alt (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* x (+ 3/25 (* 72/1265 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 253/1000 (* x (+ 3/25 (* x (+ 72/1265 (* 1728/64009 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -253/1000 (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -253/1000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 25/3 (taylor -inf x) (#s(alt (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 25/3 (* 1265/72 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/625 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt -25/3 (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) (patch #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) (patch #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) (patch #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) (patch #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/25 binary64) x) (patch (*.f64 #s(literal 3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/25 binary64) x) (patch (*.f64 #s(literal 3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/25 binary64) x) (patch (*.f64 #s(literal 3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/25 binary64) x) (patch (*.f64 #s(literal 3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -25/3 x) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)))) (- 1 (* x (- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)))))) (* x (- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000))))) (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000)) (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* (* 9/625 x) x) -64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000))) (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)) (+ (* 3/25 x) -253/1000) (* 3/25 x) (pow (+ (* -3/25 x) 253/1000) -1) (+ (* -3/25 x) 253/1000)) |
| 4.0ms | x | @ | inf | ((- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)))) (- 1 (* x (- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)))))) (* x (- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000))))) (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000)) (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* (* 9/625 x) x) -64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000))) (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)) (+ (* 3/25 x) -253/1000) (* 3/25 x) (pow (+ (* -3/25 x) 253/1000) -1) (+ (* -3/25 x) 253/1000)) |
| 3.0ms | x | @ | 0 | ((- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)))) (- 1 (* x (- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)))))) (* x (- (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000))))) (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000)) (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* (* 9/625 x) x) -64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (* (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000))) (* 9/625 x) (/ x (+ (* -3/25 x) 253/1000)) (+ (* 3/25 x) -253/1000) (* 3/25 x) (pow (+ (* -3/25 x) 253/1000) -1) (+ (* -3/25 x) 253/1000)) |
| 1× | egg-herbie |
| 8 846× | lower-fma.f64 |
| 8 846× | lower-fma.f32 |
| 3 262× | lower-*.f64 |
| 3 262× | lower-*.f32 |
| 2 874× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 1802 |
| 1 | 666 | 1781 |
| 2 | 1648 | 1762 |
| 3 | 3708 | 1754 |
| 4 | 7476 | 1754 |
| 0 | 8186 | 1541 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* 3/25 x)) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(+ 253/1000 (* x (+ 3/25 (* 72/1265 x)))) |
(+ 253/1000 (* x (+ 3/25 (* x (+ 72/1265 (* 1728/64009 x)))))) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* x (- (* -3/25 x) 253/1000)) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* -64009/1000000 x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(* -1000/253 x) |
(* x (- (* -120000/64009 x) 1000/253)) |
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) |
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 72/1265 (pow x 2)) |
(* (pow x 2) (+ 72/1265 (* 1728/64009 x))) |
(* (pow x 2) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))) |
(* (pow x 2) (+ 72/1265 (* x (+ 1728/64009 (* x (+ 207360/16194277 (* 24883200/4097152081 x))))))) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 1000/253 x) |
(* x (+ 1000/253 (* 120000/64009 x))) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x))))) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x))))))) |
-253/1000 |
(- (* 3/25 x) 253/1000) |
(- (* 3/25 x) 253/1000) |
(- (* 3/25 x) 253/1000) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
1000/253 |
(+ 1000/253 (* 120000/64009 x)) |
(+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))) |
(+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))) |
253/1000 |
(+ 253/1000 (* -3/25 x)) |
(+ 253/1000 (* -3/25 x)) |
(+ 253/1000 (* -3/25 x)) |
(* 3/25 x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(/ -64009/120000 x) |
(* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x)) 64009/120000) x) |
(/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) (pow x 2))) (+ 64009/120000 (* 16194277/14400000 (/ 1 x)))) x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 9/625 (pow x 3)) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
25/3 |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -9/625 (pow x 2)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 253/1000 (* 64009/120000 (/ 1 x))) x)) 3/25)) |
(* x (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) (pow x 2))) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
-25/3 |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) |
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) |
(* 3/25 x) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(/ -25/3 x) |
(* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) x) |
(/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) x) |
(* -3/25 x) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* 3/25 x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(/ -64009/120000 x) |
(* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) |
(* -1 (/ (+ 64009/120000 (+ (* 16194277/14400000 (/ 1 x)) (/ 4097152081/1728000000 (pow x 2)))) x)) |
(* -1 (/ (+ 64009/120000 (* -1 (/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x)) 16194277/14400000) x))) x)) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 9/625 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
25/3 |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -9/625 (pow x 2)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))) |
(* -1 (* x (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
-25/3 |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) |
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
(* 3/25 x) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(* 3/25 x) |
(/ -25/3 x) |
(* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) |
(* -1 (/ (+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) x)) |
(* -3/25 x) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
| Outputs |
|---|
253/1000 |
#s(literal 253/1000 binary64) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 253/1000 x) |
(*.f64 x #s(literal 253/1000 binary64)) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
253/1000 |
#s(literal 253/1000 binary64) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) |
(+ 253/1000 (* x (+ 3/25 (* 72/1265 x)))) |
(fma.f64 (fma.f64 #s(literal 72/1265 binary64) x #s(literal 3/25 binary64)) x #s(literal 253/1000 binary64)) |
(+ 253/1000 (* x (+ 3/25 (* x (+ 72/1265 (* 1728/64009 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1728/64009 binary64) x #s(literal 72/1265 binary64)) x #s(literal 3/25 binary64)) x #s(literal 253/1000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -253/1000 x) |
(*.f64 #s(literal -253/1000 binary64) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 253/1000 x) |
(*.f64 x #s(literal 253/1000 binary64)) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* -64009/1000000 x) |
(*.f64 #s(literal -64009/1000000 binary64) x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* x (- (* 9/625 (pow x 2)) 64009/1000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
-64009/1000000 |
#s(literal -64009/1000000 binary64) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* -1000/253 x) |
(*.f64 #s(literal -1000/253 binary64) x) |
(* x (- (* -120000/64009 x) 1000/253)) |
(*.f64 (fma.f64 #s(literal -120000/64009 binary64) x #s(literal -1000/253 binary64)) x) |
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x) |
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
64009/1000000 |
#s(literal 64009/1000000 binary64) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
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(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/25 binary64)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x) |
(* 9/625 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9/625 binary64)) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(* 9/625 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
25/3 |
#s(literal 25/3 binary64) |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal 1265/72 binary64)) #s(literal 25/3 binary64)) |
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) |
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -9/625 (pow x 2)) |
(*.f64 #s(literal -9/625 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))) |
(fma.f64 #s(literal -3/25 binary64) x (-.f64 #s(literal -253/1000 binary64) (/.f64 #s(literal 64009/120000 binary64) x))) |
(* -1 (* x (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))) |
(fma.f64 #s(literal -3/25 binary64) x (-.f64 #s(literal -253/1000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/14400000 binary64) x) #s(literal -64009/120000 binary64)) x))) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
-25/3 |
#s(literal -25/3 binary64) |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) |
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) |
(-.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) |
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x) #s(literal 25/3 binary64)) |
(* 3/25 x) |
(*.f64 x #s(literal 3/25 binary64)) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) |
(* 3/25 x) |
(*.f64 x #s(literal 3/25 binary64)) |
(* 3/25 x) |
(*.f64 x #s(literal 3/25 binary64)) |
(* 3/25 x) |
(*.f64 x #s(literal 3/25 binary64)) |
(* 3/25 x) |
(*.f64 x #s(literal 3/25 binary64)) |
(/ -25/3 x) |
(/.f64 #s(literal -25/3 binary64) x) |
(* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x) |
(* -1 (/ (+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) x) |
(* -1 (/ (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x) #s(literal 25/3 binary64)) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
| 5 294× | lower-*.f32 |
| 5 278× | lower-*.f64 |
| 3 748× | lower-/.f32 |
| 3 742× | lower-/.f64 |
| 2 480× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 239 |
| 0 | 72 | 239 |
| 1 | 280 | 213 |
| 2 | 2298 | 213 |
| 0 | 8369 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) |
(*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) |
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 #s(literal 9/625 binary64) x) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) |
(*.f64 #s(literal 3/25 binary64) x) |
(pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) x (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -2 binary64)) #s(literal 4097152081/1000000000000 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) #s(literal 2 binary64)) #s(literal 81/390625 binary64) (/.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) x (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -2 binary64)) #s(literal 4097152081/1000000000000 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) #s(literal 2 binary64)) #s(literal 81/390625 binary64) (/.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) x (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -2 binary64)) #s(literal 4097152081/1000000000000 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) #s(literal 2 binary64)) #s(literal 81/390625 binary64) (/.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) |
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(/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) |
(/.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x)) |
(*.f64 #s(literal 9/625 binary64) x) |
(*.f64 x #s(literal 9/625 binary64)) |
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) |
(*.f64 (*.f64 x (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) x)) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(*.f64 x (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (*.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x)) |
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 x (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x)) #s(literal -1 binary64))) |
#s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)) |
(*.f64 #s(literal 3/25 binary64) x) |
(*.f64 x #s(literal 3/25 binary64)) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (neg.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (exp.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 x #s(literal -759/25000 binary64))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) |
(exp.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) |
Compiled 23 872 to 3 107 computations (87% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 990 | 7 | 997 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 996 | 12 | 1 008 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) |
| ▶ | 61.8% | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 47.8% | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 98.3% | (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))))) | |
| 46.2% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) | |
| ✓ | 54.7% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ▶ | 54.7% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
| ▶ | 53.8% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
| ▶ | 3.8% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 53.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 45.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 193 to 163 computations (15.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) | |
| cost-diff | 0 | #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -3/25 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) | |
| cost-diff | 0 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 6208 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) |
| 3 032× | lower-fma.f32 |
| 3 022× | lower-fma.f64 |
| 1 576× | lower-*.f32 |
| 1 562× | lower-*.f64 |
| 762× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 247 |
| 0 | 67 | 245 |
| 1 | 111 | 237 |
| 2 | 198 | 237 |
| 3 | 518 | 234 |
| 4 | 1420 | 234 |
| 5 | 2928 | 234 |
| 6 | 4338 | 234 |
| 7 | 4762 | 234 |
| 8 | 4997 | 234 |
| 9 | 5192 | 234 |
| 10 | 5481 | 234 |
| 11 | 5490 | 234 |
| 12 | 5651 | 234 |
| 13 | 5780 | 234 |
| 14 | 5797 | 234 |
| 15 | 5797 | 234 |
| 16 | 5797 | 234 |
| 17 | 5801 | 234 |
| 0 | 5801 | 224 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
(neg.f64 x) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(*.f64 #s(literal -3/25 binary64) x) |
#s(literal -3/25 binary64) |
x |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
#s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) |
#s(literal 25/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) |
(/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
(neg.f64 x) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(*.f64 #s(literal -3/25 binary64) x) |
#s(literal -3/25 binary64) |
x |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
#s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) |
#s(literal 25/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 9/625 binary64) x) | |
| accuracy | 16.60555487534145 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) | |
| accuracy | 28.88131259956856 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.078125 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| accuracy | 0.125 | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) | |
| accuracy | 29.120140602635857 | #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) | |
| accuracy | 0.25 | (*.f64 #s(literal -3/25 binary64) x) | |
| accuracy | 29.467675256365457 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) | |
| accuracy | 28.88131259956856 | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) | |
| accuracy | 33.950265583096446 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| accuracy | 0.125 | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) | |
| accuracy | 0.30078125 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) |
| 128.0ms | 256× | 0 | valid |
Compiled 230 to 43 computations (81.3% saved)
ival-mult: 44.0ms (39.9% of total)const: 28.0ms (25.4% of total)ival-add: 26.0ms (23.6% of total)ival-div: 5.0ms (4.5% of total)ival-pow: 3.0ms (2.7% of total)ival-sub: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) (patch #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) (patch (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1000/253 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -120000/64009 x) 1000/253)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 64009/1000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 64009/1000000 (* -9/625 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 64009/1000000 (* -9/625 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 64009/1000000 (* -9/625 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -253/1000 (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1000/253 x) (taylor 0 x) (#s(alt #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) (patch #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -120000/64009 x) 1000/253)) (taylor 0 x) (#s(alt #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) (patch #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) (taylor 0 x) (#s(alt #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) (patch #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) (taylor 0 x) (#s(alt #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) (patch #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) (patch #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) (patch (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* (/ 1 (+ (* x -3/25) 253/1000)) (neg x)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (/ 1 (+ (* x -3/25) 253/1000)) (neg x))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (* -3/25 x) x) (* -3/25 x) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x))) 1) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* x -3/25) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (/ 1 (+ (* x -3/25) 253/1000)) (+ (* x -3/25) 253/1000) (* 9/625 x)) |
| 2.0ms | x | @ | inf | ((* (/ 1 (+ (* x -3/25) 253/1000)) (neg x)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (/ 1 (+ (* x -3/25) 253/1000)) (neg x))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (* -3/25 x) x) (* -3/25 x) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x))) 1) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* x -3/25) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (/ 1 (+ (* x -3/25) 253/1000)) (+ (* x -3/25) 253/1000) (* 9/625 x)) |
| 2.0ms | x | @ | -inf | ((* (/ 1 (+ (* x -3/25) 253/1000)) (neg x)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (/ 1 (+ (* x -3/25) 253/1000)) (neg x))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (* -3/25 x) x) (* -3/25 x) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x))) 1) (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* x -3/25) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (/ 1 (+ (* x -3/25) 253/1000)) (+ (* x -3/25) 253/1000) (* 9/625 x)) |
| 1× | egg-herbie |
| 10 862× | lower-fma.f64 |
| 10 862× | lower-fma.f32 |
| 3 324× | lower-*.f64 |
| 3 324× | lower-*.f32 |
| 2 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1362 |
| 1 | 327 | 1358 |
| 2 | 793 | 1352 |
| 3 | 1667 | 1352 |
| 4 | 3238 | 1328 |
| 5 | 6235 | 1328 |
| 0 | 8213 | 1172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1000/253 x) |
(* x (- (* -120000/64009 x) 1000/253)) |
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) |
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* x (- (* -3/25 x) 253/1000)) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 x) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -1000/253 x) |
(* x (- (* -120000/64009 x) 1000/253)) |
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) |
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* x (- (* -3/25 x) 253/1000)) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
(- (* -3/25 x) 253/1000) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
1000/253 |
(+ 1000/253 (* 120000/64009 x)) |
(+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))) |
(+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))) |
253/1000 |
(+ 253/1000 (* -3/25 x)) |
(+ 253/1000 (* -3/25 x)) |
(+ 253/1000 (* -3/25 x)) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
25/3 |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -9/625 (pow x 2)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
25/3 |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(/ -25/3 x) |
(* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) x) |
(/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) x) |
(* -3/25 x) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
25/3 |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -9/625 (pow x 2)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
25/3 |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(/ -25/3 x) |
(* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) |
(* -1 (/ (+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) x)) |
(* -3/25 x) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
(* 9/625 x) |
| Outputs |
|---|
(* -1000/253 x) |
(*.f64 x #s(literal -1000/253 binary64)) |
(* x (- (* -120000/64009 x) 1000/253)) |
(*.f64 (fma.f64 #s(literal -120000/64009 binary64) x #s(literal -1000/253 binary64)) x) |
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x) |
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
64009/1000000 |
#s(literal 64009/1000000 binary64) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -253/1000 x) |
(*.f64 #s(literal -253/1000 binary64) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
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(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
25/3 |
#s(literal 25/3 binary64) |
(+ 25/3 (* 1265/72 (/ 1 x))) |
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)) |
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x) #s(literal -25/3 binary64)) |
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) |
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* 9/625 (pow x 2)) |
(*.f64 #s(literal 9/625 binary64) (*.f64 x x)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(/ -25/3 x) |
(/.f64 #s(literal -25/3 binary64) x) |
(* -1 (/ (+ 25/3 (* 1265/72 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x) |
(* -1 (/ (+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64)) x) |
(* -1 (/ (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x) #s(literal 25/3 binary64)) x) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
| 5 556× | lower-fma.f32 |
| 5 546× | lower-fma.f64 |
| 4 798× | lower-*.f32 |
| 4 784× | lower-*.f64 |
| 4 424× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 212 |
| 0 | 67 | 210 |
| 1 | 246 | 163 |
| 2 | 1700 | 163 |
| 0 | 8498 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(*.f64 x x) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(*.f64 #s(literal -3/25 binary64) x) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
#s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (/.f64 x (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64)) #s(literal -253/1000 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) |
(+.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)) |
(*.f64 #s(literal 9/625 binary64) x) |
(*.f64 x #s(literal 9/625 binary64)) |
Compiled 16 415 to 2 006 computations (87.8% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 774 | 3 | 777 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 777 | 12 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| 61.8% | (fma.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) | |
| 61.8% | (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -3/25) 253/1000) (*.f64 #s(literal -3/25 binary64) x))) (neg.f64 x)) #s(literal 1 binary64)) | |
| ✓ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 97.8% | (fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) | |
| ✓ | 47.8% | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 98.3% | (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))))) | |
| 46.2% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) | |
| ✓ | 54.7% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 53.8% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
| ✓ | 3.8% | #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 53.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 45.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 407 to 187 computations (54.1% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (* (pow (+ (* -3/25 x) 253/1000) -1) (neg x)) #s(literal 25/3 binary64)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))))) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -3/25) 253/1000) (*.f64 #s(literal -3/25 binary64) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) |
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
3 calls:
| 10.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 8.0ms | x |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 99.9% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
3 calls:
| 5.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 3.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.7% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.7% | 2 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
2 calls:
| 3.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.3% | 2 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 2.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.8% | 1 | x |
| 47.8% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 47.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
3 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 47.3% | 2 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 47.4% | 2 | x |
Compiled 17 to 15 computations (11.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.7% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 45.7% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 45.7% | 1 | x |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3797773883861393e-7 | 3.1973521898056707 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.1973521898056707 | 0.9999997620222612 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 9.406230540158354e-7 | 36.58704837158701 |
| 10.0ms | 144× | 0 | valid |
Compiled 75 to 102 computations (-36% saved)
const: 4.0ms (57% of total)ival-mult: 2.0ms (28.5% of total)ival-sub: 1.0ms (14.3% of total)ival-add: 1.0ms (14.3% 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 |
| 24× | *-commutative-binary64-*.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 12× | neg-sub0-binary64--.f64-neg.f64 |
| 12× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 155 |
| 1 | 63 | 155 |
| 2 | 74 | 155 |
| 3 | 84 | 155 |
| 4 | 99 | 155 |
| 5 | 106 | 155 |
| 6 | 110 | 155 |
| 7 | 111 | 155 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))) |
(if (<=.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x)) #s(literal -2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (+ (* (* 9/625 x) x) -64009/1000000) x) (+ (* 3/25 x) -253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
| 8 846× | lower-fma.f64 |
| 8 846× | lower-fma.f32 |
| 5 328× | lower-fma.f64 |
| 5 328× | lower-fma.f32 |
| 5 044× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 1802 |
| 1 | 666 | 1781 |
| 2 | 1648 | 1762 |
| 3 | 3708 | 1754 |
| 4 | 7476 | 1754 |
| 0 | 8186 | 1541 |
| 0 | 60 | 1058 |
| 1 | 159 | 1048 |
| 2 | 417 | 1028 |
| 3 | 985 | 1028 |
| 4 | 2075 | 1028 |
| 5 | 3961 | 1028 |
| 6 | 6738 | 1028 |
| 0 | 8092 | 890 |
| 0 | 27 | 133 |
| 0 | 44 | 133 |
| 1 | 200 | 103 |
| 2 | 1529 | 103 |
| 0 | 8098 | 96 |
| 0 | 35 | 254 |
| 1 | 93 | 254 |
| 2 | 217 | 248 |
| 3 | 501 | 248 |
| 4 | 1018 | 248 |
| 5 | 2396 | 248 |
| 6 | 4106 | 248 |
| 7 | 5204 | 248 |
| 8 | 6491 | 248 |
| 9 | 7542 | 248 |
| 0 | 8017 | 215 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 55 | 24 |
| 2 | 428 | 24 |
| 3 | 4320 | 24 |
| 0 | 8270 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 136 to 91 computations (33.1% saved)
Compiled 158 to 80 computations (49.4% saved)
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