
Time bar (total: 5.3s)
| 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)
| 817.0ms | 8 256× | 0 | valid |
const: 290.0ms (44.8% of total)ival-mult: 259.0ms (40% of total)ival-sub: 41.0ms (6.3% of total)ival-add: 41.0ms (6.3% of total)ival-true: 7.0ms (1.1% of total)exact: 5.0ms (0.8% of total)ival-assert: 4.0ms (0.6% 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 | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 97 to 36 computations (62.9% saved)
const: 15.0ms (52.9% of total)ival-mult: 7.0ms (24.7% of total)ival-sub: 3.0ms (10.6% of total)ival-add: 2.0ms (7.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 99.8% | (-.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))))) |
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 | 0.00390625 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| accuracy | 0.10546875 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) | |
| accuracy | 0.28515625 | (*.f64 x #s(literal 3/25 binary64)) |
| 40.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 58 to 18 computations (69% saved)
ival-mult: 23.0ms (68.4% of total)const: 7.0ms (20.8% of total)ival-add: 1.0ms (3% of total)ival-sub: 1.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 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 | |
|---|---|---|---|---|
| 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 | @ | -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 |
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) |
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 |
|---|
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Compiled 7 090 to 955 computations (86.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 7 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 358 | 8 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| ▶ | 99.9% | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| 99.9% | (-.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 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| ▶ | 44.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
| ▶ | 57.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ▶ | 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ▶ | 43.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 111 to 96 computations (13.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| 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 | (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 107 |
| 0 | 31 | 107 |
| 1 | 59 | 106 |
| 2 | 106 | 102 |
| 3 | 161 | 102 |
| 4 | 248 | 102 |
| 5 | 368 | 102 |
| 6 | 503 | 102 |
| 7 | 654 | 102 |
| 8 | 676 | 102 |
| 0 | 676 | 97 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
x |
#s(literal -253/1000 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) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
x |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal -3/25 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)) |
(*.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) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 26.882780868060067 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| accuracy | 27.534661474076277 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| accuracy | 0.0390625 | (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) | |
| accuracy | 35.40073173406477 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) | |
| accuracy | 36.29422436223222 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0390625 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| 101.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 166 to 37 computations (77.7% saved)
ival-mult: 46.0ms (66.6% of total)const: 16.0ms (23.2% of total)ival-add: 6.0ms (8.7% of total)ival-sub: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal -253/1000 binary64) #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 #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #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(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #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(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #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(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal -253/1000 binary64) #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 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) 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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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 (* -253/1000 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 253/1000)) (taylor inf x) (#s(alt (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 253/1000)) (taylor inf x) (#s(alt (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 253/1000)) (taylor inf x) (#s(alt (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor inf 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 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf 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>) () ())) ()) |
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#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf 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>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf 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 (* -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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (+ (* x -253/1000) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000)) |
| 1.0ms | x | @ | -inf | ((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (+ (* x -253/1000) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000)) |
| 1.0ms | x | @ | inf | ((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (+ (* x -253/1000) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 748 |
| 1 | 95 | 748 |
| 2 | 281 | 748 |
| 3 | 640 | 748 |
| 4 | 1166 | 748 |
| 5 | 2517 | 748 |
| 6 | 4151 | 748 |
| 7 | 5224 | 748 |
| 8 | 6575 | 748 |
| 9 | 7592 | 748 |
| 0 | 8070 | 637 |
| 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))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* -253/1000 x)) |
(+ 1 (* -253/1000 x)) |
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))) |
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* -253/1000 x)) |
(+ 1 (* -253/1000 x)) |
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)) |
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) |
(* -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))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -253/1000 x) |
(* x (- (/ 1 x) 253/1000)) |
(* x (- (/ 1 x) 253/1000)) |
(* x (- (/ 1 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 (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))))) |
(* -253/1000 x) |
(* x (- (/ 1 x) 253/1000)) |
(* x (- (/ 1 x) 253/1000)) |
(* x (- (/ 1 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 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (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 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -253/1000 x) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (* x (- 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)) |
(* -253/1000 x) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (* x (- 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 (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))))) |
| 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)) |
(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 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(+ 1 (* -253/1000 x)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(+ 1 (* -253/1000 x)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
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)) |
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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(+ 1 (* -253/1000 x)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(+ 1 (* -253/1000 x)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
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)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
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 x) |
(*.f64 x #s(literal -253/1000 binary64)) |
(* 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)) |
(* -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 (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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -253/1000 x) |
(*.f64 x #s(literal -253/1000 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 x #s(literal -253/1000 binary64) #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) |
(* (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) |
(* -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)) |
(* -253/1000 x) |
(*.f64 x #s(literal -253/1000 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 x #s(literal -253/1000 binary64) #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) |
(* (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) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 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 (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) |
(* -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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -253/1000 x) |
(*.f64 x #s(literal -253/1000 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 x #s(literal -253/1000 binary64) #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) |
(* (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) |
(* (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)) |
(* -253/1000 x) |
(*.f64 x #s(literal -253/1000 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 x #s(literal -253/1000 binary64) #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) |
(* (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) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 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)) |
(* -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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 91 |
| 0 | 31 | 91 |
| 1 | 136 | 90 |
| 2 | 961 | 86 |
| 0 | 8549 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x x) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #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))) |
(fma.f64 x #s(literal -253/1000 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)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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)) |
| Outputs |
|---|
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Compiled 9 307 to 1 170 computations (87.4% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 6 | 557 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 551 | 14 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ▶ | 99.8% | (/.f64 #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)))) |
| ▶ | 99.9% | (-.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 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| ✓ | 44.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
| 50.0% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) | |
| 57.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) | |
| ✓ | 57.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ▶ | 57.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.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))) x)) |
| ✓ | 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) | |
| ▶ | 3.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 43.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 200 to 166 computations (17% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) | |
| cost-diff | 0 | (/.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))) | |
| cost-diff | 1408 | (/.f64 #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)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (*.f64 (/.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))) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.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))) x)) | |
| 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)) | |
| 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 (* x (+ 253/1000 (* x 3/25)))) (*.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 | (*.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)))) | |
| cost-diff | 128 | (-.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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 0 | 50 | 198 |
| 1 | 93 | 198 |
| 2 | 186 | 194 |
| 3 | 450 | 194 |
| 4 | 1023 | 194 |
| 5 | 1690 | 194 |
| 6 | 2367 | 194 |
| 7 | 3170 | 194 |
| 8 | 3573 | 194 |
| 9 | 3615 | 194 |
| 10 | 3633 | 194 |
| 11 | 3637 | 194 |
| 12 | 3640 | 194 |
| 13 | 3764 | 194 |
| 14 | 3832 | 194 |
| 15 | 3832 | 194 |
| 0 | 3832 | 193 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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))))) |
#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)))) |
(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 x (fma.f64 #s(literal -3/25 binary64) x #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) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 |
(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)))) (*.f64 (/.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))) x)) |
(*.f64 (/.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))) x) |
(/.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 #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) |
(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 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))) |
(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) |
| Outputs |
|---|
(-.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))))) |
(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 (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 (/.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))) |
(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 x (fma.f64 #s(literal -3/25 binary64) x #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) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 |
(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)))) (*.f64 (/.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))) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (/.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))) x) |
(*.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 (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 #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) |
(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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))) |
(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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.08984375 | (/.f64 #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)))) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 0.7256296277589569 | (/.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))) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) | |
| accuracy | 0.2624602753325006 | (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) | |
| accuracy | 17.07797023192381 | (/.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))) | |
| accuracy | 26.882780868060067 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.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))) x)) | |
| accuracy | 0.0703125 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 0.10546875 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) | |
| accuracy | 26.882780868060067 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) | |
| accuracy | 35.62686605621592 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) | |
| accuracy | 0.19140625 | (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 0.2624602753325006 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| accuracy | 0.27734375 | (*.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)))) |
| 122.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 374 to 59 computations (84.2% saved)
const: 36.0ms (43.8% of total)ival-add: 21.0ms (25.6% of total)ival-mult: 15.0ms (18.3% of total)ival-div: 7.0ms (8.5% of total)ival-sub: 2.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 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))))) (patch (-.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))))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (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)))) (*.f64 (/.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))) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.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))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.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))) x) (patch (*.f64 (/.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))) x) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<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 #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)))) (patch (/.f64 #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)))) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<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 (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 (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ()) |
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.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)))) (patch (*.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)))) #<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>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (/.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))) x) (patch (*.f64 (/.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))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (/.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))) x) (patch (*.f64 (/.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))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (/.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))) x) (patch (*.f64 (/.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))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<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) (- 9/625 (* 64009/1000000 (/ 1 (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) (- 9/625 (* 64009/1000000 (/ 1 (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) (- 9/625 (* 64009/1000000 (/ 1 (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 (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #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)))) (patch (/.f64 #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)))) #<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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #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)))) #<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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #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)))) #<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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -25/3 (pow x 2)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<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 (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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((- 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 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* 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) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/ x (+ (* -3/25 x) 253/1000)) (+ (* -3/25 x) 253/1000)) |
| 3.0ms | x | @ | inf | ((- 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 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* 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) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/ x (+ (* -3/25 x) 253/1000)) (+ (* -3/25 x) 253/1000)) |
| 2.0ms | x | @ | -inf | ((- 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 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* 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) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/ x (+ (* -3/25 x) 253/1000)) (+ (* -3/25 x) 253/1000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1270 |
| 1 | 407 | 1268 |
| 2 | 981 | 1256 |
| 3 | 2086 | 1252 |
| 4 | 4512 | 1248 |
| 0 | 8065 | 1080 |
| 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 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
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))) |
-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) |
-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))) |
1 |
(+ 1 (* 253/1000 x)) |
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x)))) |
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 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 |
(+ 253/1000 (* -3/25 x)) |
(+ 253/1000 (* -3/25 x)) |
(+ 253/1000 (* -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 (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 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 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))))) |
(* 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))))) |
(/ -25/3 (pow x 2)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
-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 (- (* 253/1000 (/ 1 x)) 3/25)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(* x (- (* 253/1000 (/ 1 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)) |
(* (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 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 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))))) |
(* 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)) |
(/ -25/3 (pow x 2)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2)) |
-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 (- 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
| 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 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 |
#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))) |
(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)) |
-64009/1000000 |
#s(literal -64009/1000000 binary64) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 253/1000 x)) |
(fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x)))) |
(fma.f64 (fma.f64 #s(literal 184009/1000000 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 76914277/1000000000 binary64) x #s(literal 184009/1000000 binary64)) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
(* 1000/253 x) |
(*.f64 #s(literal 1000/253 binary64) x) |
(* x (+ 1000/253 (* 120000/64009 x))) |
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x))))))) |
(*.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) |
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)) |
(* -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)) |
(* (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 2)) |
(*.f64 (*.f64 x x) #s(literal -9/625 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(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) |
(* -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) |
(* -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 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) |
(* -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 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 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)) |
(/ -25/3 (pow x 2)) |
(/.f64 #s(literal -25/3 binary64) (*.f64 x x)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x)) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 x 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 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) |
(-.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 #s(literal -3/25 binary64) x) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(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)) |
(* (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 2)) |
(*.f64 (*.f64 x x) #s(literal -9/625 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(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) |
(* -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)) |
(* -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) |
(* -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 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 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)) |
(/ -25/3 (pow x 2)) |
(/.f64 #s(literal -25/3 binary64) (*.f64 x x)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x) |
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 x 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 #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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 163 |
| 0 | 50 | 152 |
| 1 | 213 | 134 |
| 2 | 1725 | 134 |
| 0 | 8481 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 (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)))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(*.f64 x x) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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)) |
(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)))) (*.f64 (/.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))) x)) |
(*.f64 (/.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))) x) |
(/.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 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(/.f64 #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)))) |
(/.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))) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
| Outputs |
|---|
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Compiled 49 262 to 4 699 computations (90.5% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 906 | 3 | 1 909 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 912 | 11 | 1 923 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ▶ | 56.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) |
| ▶ | 64.5% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
| ✓ | 44.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
| ✓ | 57.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ▶ | 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
| ✓ | 3.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 43.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 76 to 67 computations (11.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -3/25 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 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 | (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 164 |
| 0 | 47 | 159 |
| 1 | 86 | 159 |
| 2 | 158 | 156 |
| 3 | 334 | 156 |
| 4 | 656 | 156 |
| 5 | 902 | 156 |
| 6 | 1196 | 156 |
| 7 | 1671 | 156 |
| 8 | 1848 | 156 |
| 9 | 1956 | 156 |
| 10 | 2014 | 156 |
| 11 | 2087 | 156 |
| 12 | 2211 | 156 |
| 13 | 2224 | 156 |
| 14 | 2236 | 156 |
| 15 | 2245 | 156 |
| 16 | 2246 | 156 |
| 0 | 2246 | 146 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 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 (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
#s(literal -25/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) |
#s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.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) |
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) |
(*.f64 #s(literal -3/25 binary64) x) |
#s(literal -3/25 binary64) |
x |
#s(literal 253/1000 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) x) |
(*.f64 x #s(literal -3/25 binary64)) |
#s(literal -3/25 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #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)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) |
(*.f64 #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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 (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
#s(literal -25/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) |
#s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) |
#s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.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) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.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 #s(literal -3/25 binary64) x) |
(*.f64 x #s(literal -3/25 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal 253/1000 binary64) |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.28515625 | (*.f64 #s(literal -3/25 binary64) x) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| accuracy | 0.7256296277589569 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) | |
| accuracy | 27.534661474076277 | #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.2624602753325006 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| accuracy | 0.27734375 | (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) | |
| accuracy | 27.16669754407665 | #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) | |
| accuracy | 0.28515625 | (*.f64 #s(literal -3/25 binary64) x) | |
| accuracy | 27.534661474076277 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
| 85.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 247 to 54 computations (78.1% saved)
const: 38.0ms (53.4% of total)ival-mult: 17.0ms (23.9% of total)ival-add: 7.0ms (9.8% of total)ival-div: 5.0ms (7% of total)ival-sub: 4.0ms (5.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.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 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) (patch #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 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>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x 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 #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x 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 #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x 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 #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/25 (pow x 2)) (taylor -inf 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 -inf 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 -inf 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 -inf 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 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.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 -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.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 -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.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 -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.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 (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) 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 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) 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 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) 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 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -25/3 (taylor -inf x) (#s(alt #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) (patch #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) (patch #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) (patch #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 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 #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) (patch #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 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 x) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (* (* x x) -3/25) (- (* -3/25 x) 253/1000) (+ (* (- (* -3/25 x) 253/1000) x) 1) (/ x (+ (* -3/25 x) 253/1000))) |
| 2.0ms | x | @ | inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 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 x) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (* (* x x) -3/25) (- (* -3/25 x) 253/1000) (+ (* (- (* -3/25 x) 253/1000) x) 1) (/ x (+ (* -3/25 x) 253/1000))) |
| 1.0ms | x | @ | 0 | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 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 x) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (* (* x x) -3/25) (- (* -3/25 x) 253/1000) (+ (* (- (* -3/25 x) 253/1000) x) 1) (/ x (+ (* -3/25 x) 253/1000))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1074 |
| 1 | 377 | 1072 |
| 2 | 899 | 1030 |
| 3 | 1899 | 1026 |
| 4 | 4248 | 1022 |
| 5 | 7788 | 1022 |
| 0 | 8214 | 908 |
| 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))) |
(* -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))) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
(* x (+ 253/1000 (* 3/25 x))) |
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))) |
1 |
(+ 1 (* 253/1000 x)) |
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x)))) |
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x)))))) |
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)) |
-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))) |
(* 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))))))) |
(* -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))))) |
(* 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 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))))) |
(/ -25/3 (pow x 2)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (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)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -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))))) |
-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 (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)) |
(* 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 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)) |
(/ -25/3 (pow x 2)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (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)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -3/25 (pow x 2)) |
(* -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)) |
-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) |
| 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)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) 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) |
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 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 |
#s(literal 64009/1000000 binary64) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(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) |
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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 253/1000 x)) |
(fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x)))) |
(fma.f64 (fma.f64 #s(literal 184009/1000000 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 76914277/1000000000 binary64) x #s(literal 184009/1000000 binary64)) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
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)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 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)) |
(* 1000/253 x) |
(*.f64 #s(literal 1000/253 binary64) x) |
(* x (+ 1000/253 (* 120000/64009 x))) |
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x))))))) |
(*.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) |
(* -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 (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) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 #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 (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 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 (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 (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)) |
(/ -25/3 (pow x 2)) |
(/.f64 #s(literal -25/3 binary64) (*.f64 x x)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x)) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 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 (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) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) 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 (* 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 (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)) |
-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 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) |
(-.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 (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) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 #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) |
(* (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 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 (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)) |
(/ -25/3 (pow x 2)) |
(/.f64 #s(literal -25/3 binary64) (*.f64 x x)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x) |
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 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)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) 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 (* 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)) |
-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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 144 |
| 0 | 47 | 137 |
| 1 | 205 | 137 |
| 2 | 1346 | 137 |
| 0 | 8508 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) |
#s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 12 205 to 1 486 computations (87.8% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 588 | 1 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 7 | 7 |
| Total | 589 | 11 | 600 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ✓ | 56.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) |
| 98.5% | (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) | |
| ✓ | 44.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) |
| ✓ | 57.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 56.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
| ✓ | 3.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 43.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 235 to 129 computations (45.1% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 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)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.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))) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 #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)))) |
(-.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))))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
3 calls:
| 44.0ms | x |
| 6.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 5.0ms | (-.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 (* x (+ 253/1000 (* x 3/25)))) (*.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))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 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)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.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))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (*.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 |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 99.8% | 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 (* x (+ 253/1000 (* x 3/25)))) (*.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))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 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)) |
| 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:
| 3.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 3.0ms | 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 |
|---|---|---|
| 99.1% | 3 | x |
| 99.1% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 99.1% | 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 (* x (+ 253/1000 (* x 3/25)))) (*.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))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| 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 (*.f64 x x) #s(literal -3/25 binary64))) |
2 calls:
| 3.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 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 |
|---|---|---|
| 98.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.6% | 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 (* x (+ 253/1000 (* x 3/25)))) (*.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))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 (*.f64 #s(literal -3/25 binary64) x) x)) |
2 calls:
| 4.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 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 |
|---|---|---|
| 98.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.6% | 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 (* x (+ 253/1000 (* x 3/25)))) (*.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))) |
| 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 |
|---|---|---|
| 44.7% | 1 | x |
| 44.7% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 44.7% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
Total -26.4b remaining (-72.7%)
Threshold costs -26.4b (-72.7%)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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)) |
3 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 2.0ms | 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 |
|---|---|---|
| 43.3% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 43.3% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 43.3% | 1 | x |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007462909539826215 | 7678458.862708626 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007462909539826215 | 7678458.862708626 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007462909539826215 | 7678458.862708626 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 159 |
| 1 | 43 | 159 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(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 5764607523034235/576460752303423488 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 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 5764607523034235/576460752303423488 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 (*.f64 x x) #s(literal -3/25 binary64)))) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 5764607523034235/576460752303423488 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 (*.f64 #s(literal -3/25 binary64) x) 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)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(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 5764607523034235/576460752303423488 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 5764607523034235/576460752303423488 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 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 5764607523034235/576460752303423488 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 (*.f64 x x) #s(literal -3/25 binary64)))) |
(if (<=.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 5764607523034235/576460752303423488 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 #s(literal -3/25 binary64) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 5764607523034235/576460752303423488 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 (*.f64 #s(literal -3/25 binary64) x) x))) |
(if (<=.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 5764607523034235/576460752303423488 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 (*.f64 #s(literal -3/25 binary64) x) 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)))) #s(literal 1 binary64)) |
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 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 55 | 24 |
| 2 | 428 | 24 |
| 3 | 4320 | 24 |
| 0 | 8270 | 20 |
| 0 | 35 | 748 |
| 1 | 95 | 748 |
| 2 | 281 | 748 |
| 3 | 640 | 748 |
| 4 | 1166 | 748 |
| 5 | 2517 | 748 |
| 6 | 4151 | 748 |
| 7 | 5224 | 748 |
| 8 | 6575 | 748 |
| 9 | 7592 | 748 |
| 0 | 8070 | 637 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 155 to 87 computations (43.9% saved)
Compiled 192 to 74 computations (61.5% saved)
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