
Time bar (total: 5.5s)
| 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 13 to 10 computations (23.1% saved)
| 942.0ms | 8 256× | 0 | valid |
const: 380.0ms (50.6% of total)ival-mult: 315.0ms (41.9% of total)ival-sub: 46.0ms (6.1% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) x) |
| 0 | 0 | - | 0 | - | #s(literal 6450306886639899/50000000000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 238732414637843/250000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
| 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 |
| 46.0ms | 512× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
const: 16.0ms (49.3% of total)ival-mult: 14.0ms (43.1% of total)ival-sub: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 440× | lower-fma.f64 |
| 440× | lower-fma.f32 |
| 296× | lower-*.f32 |
| 288× | lower-*.f64 |
| 102× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 36 | 21 |
| 2 | 140 | 18 |
| 3 | 408 | 18 |
| 4 | 603 | 18 |
| 5 | 660 | 18 |
| 6 | 664 | 18 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 24 | 9 |
| 2 | 55 | 9 |
| 3 | 120 | 9 |
| 4 | 165 | 9 |
| 5 | 215 | 9 |
| 6 | 286 | 9 |
| 7 | 357 | 9 |
| 8 | 555 | 9 |
| 9 | 582 | 9 |
| 0 | 582 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
(negabs x)
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) | |
| cost-diff | 6272 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 440× | lower-fma.f64 |
| 440× | lower-fma.f32 |
| 296× | lower-*.f32 |
| 288× | lower-*.f64 |
| 102× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 24 | 26 |
| 2 | 55 | 26 |
| 3 | 120 | 26 |
| 4 | 165 | 26 |
| 5 | 215 | 26 |
| 6 | 286 | 26 |
| 7 | 357 | 26 |
| 8 | 555 | 26 |
| 9 | 582 | 26 |
| 0 | 582 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
#s(literal 238732414637843/250000000000000 binary64) |
x |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
| Outputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 238732414637843/250000000000000 binary64) |
x |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.09765625 | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
| 45.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
const: 32.0ms (82.8% of total)ival-mult: 6.0ms (15.5% of total)ival-sub: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x 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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) (taylor inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) (taylor inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) (taylor inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x 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 (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (patch (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x 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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)) (* x x) (* (* x x) x)) |
| 2.0ms | x | @ | -inf | ((- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1.0ms | x | @ | 0 | ((- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1× | egg-herbie |
| 2 418× | lower-*.f64 |
| 2 418× | lower-*.f32 |
| 1 736× | lower-fma.f64 |
| 1 736× | lower-fma.f32 |
| 1 458× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 262 |
| 1 | 56 | 262 |
| 2 | 141 | 262 |
| 3 | 404 | 262 |
| 4 | 1234 | 262 |
| 5 | 3396 | 262 |
| 6 | 4954 | 262 |
| 7 | 6093 | 262 |
| 0 | 8081 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
| 14 254× | lower-fma.f64 |
| 14 254× | lower-fma.f32 |
| 4 784× | lower-*.f32 |
| 4 776× | lower-*.f64 |
| 2 860× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 23 |
| 1 | 40 | 23 |
| 2 | 257 | 23 |
| 3 | 2531 | 23 |
| 0 | 8361 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
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Compiled 9 322 to 807 computations (91.3% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 9 | 303 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 294 | 10 | 304 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) | |
| ▶ | 72.4% | (fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
| ▶ | 99.9% | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 38.8% | (/.f64 (neg.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) | |
| 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| ▶ | 99.8% | (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
| 99.8% | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) | |
| ▶ | 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ▶ | 52.1% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
Compiled 211 to 160 computations (24.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) | |
| cost-diff | 1408 | (fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | -6144 | (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 128 | (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 1 096× | lower-fma.f32 |
| 1 090× | lower-fma.f64 |
| 712× | lower-*.f32 |
| 698× | lower-*.f64 |
| 266× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 177 |
| 0 | 48 | 170 |
| 1 | 88 | 168 |
| 2 | 158 | 168 |
| 3 | 242 | 168 |
| 4 | 368 | 168 |
| 5 | 532 | 168 |
| 6 | 758 | 164 |
| 7 | 1352 | 164 |
| 8 | 1756 | 162 |
| 9 | 1939 | 162 |
| 10 | 1982 | 162 |
| 11 | 2010 | 162 |
| 12 | 2010 | 162 |
| 0 | 2010 | 160 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
x |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) |
(fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) |
| Outputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
(/.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
x |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) |
(fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 (/.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) | |
| accuracy | 0.3853459272542152 | (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 0.8911256677051739 | (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 13.90832910887665 | (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 32.77228495664542 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0.07421875 | (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) | |
| accuracy | 0.09765625 | (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) | |
| accuracy | 30.652702922346307 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.07421875 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
| 105.0ms | 256× | 0 | valid |
Compiled 178 to 31 computations (82.6% saved)
const: 39.0ms (50.8% of total)ival-mult: 15.0ms (19.6% of total)ival-div: 10.0ms (13% of total)ival-pow: 5.0ms (6.5% of total)ival-add: 3.0ms (3.9% of total)ival-sub: 2.0ms (2.6% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (patch (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (patch (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) (patch (fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) (patch (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (patch (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (patch (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (patch (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (patch (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (patch (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (patch (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 238732414637843/250000000000000 (taylor 0 x) (#s(alt (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (patch (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (patch (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (patch (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (patch (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 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 (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (patch (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (patch (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | ((+ (* x 238732414637843/250000000000000) (* -6450306886639899/50000000000000000 (pow x 3))) (* -6450306886639899/50000000000000000 (pow x 3)) (pow x 3) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* x 238732414637843/250000000000000) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* x x) 6450306886639899/50000000000000000) (* x x) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow x 3) -6450306886639899/50000000000000000) (+ (* x (/ 56993165798814994692847692649/62500000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (neg (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (neg (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/ 56993165798814994692847692649/62500000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000) (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) |
| 5.0ms | x | @ | inf | ((+ (* x 238732414637843/250000000000000) (* -6450306886639899/50000000000000000 (pow x 3))) (* -6450306886639899/50000000000000000 (pow x 3)) (pow x 3) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* x 238732414637843/250000000000000) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* x x) 6450306886639899/50000000000000000) (* x x) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow x 3) -6450306886639899/50000000000000000) (+ (* x (/ 56993165798814994692847692649/62500000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (neg (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (neg (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/ 56993165798814994692847692649/62500000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000) (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) |
| 3.0ms | x | @ | -inf | ((+ (* x 238732414637843/250000000000000) (* -6450306886639899/50000000000000000 (pow x 3))) (* -6450306886639899/50000000000000000 (pow x 3)) (pow x 3) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* x 238732414637843/250000000000000) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* x x) 6450306886639899/50000000000000000) (* x x) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow x 3) -6450306886639899/50000000000000000) (+ (* x (/ 56993165798814994692847692649/62500000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (neg (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (neg (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/ 56993165798814994692847692649/62500000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000) (* (pow x 5) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 41606458931834106848498498730201/2500000000000000000000000000000000 (+ (* (* x x) 6450306886639899/50000000000000000) 238732414637843/250000000000000))) |
| 1× | egg-herbie |
| 14 346× | lower-fma.f64 |
| 14 346× | lower-fma.f32 |
| 3 468× | lower-*.f64 |
| 3 468× | lower-*.f32 |
| 3 334× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1542 |
| 1 | 316 | 1542 |
| 2 | 920 | 1528 |
| 3 | 3047 | 1522 |
| 4 | 6666 | 1522 |
| 0 | 8054 | 1423 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5)) |
(* (pow x 5) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 2))) |
(* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5)) |
(* (pow x 5) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) |
(* (pow x 5) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* (pow x 2) (- (* 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)) 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000)))) |
(* (pow x 5) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* (pow x 2) (- (* (pow x 2) (+ 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (* -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)))) 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000)))) |
41606458931834106848498498730201/2387324146378430000000000000000000 |
(+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2))) |
(+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* (pow x 2) (- (* 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)) 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000))) |
(+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* (pow x 2) (- (* (pow x 2) (+ 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (* -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)))) 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))))) |
(* (pow x 3) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))))) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))))) |
(/ 6450306886639899/50000000000000000 (pow x 2)) |
(/ (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6))))) (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6))))))) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))) |
(* -1 (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))) |
(/ 6450306886639899/50000000000000000 (pow x 2)) |
(/ (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6))))) (pow x 2)) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) |
(* (pow x 5) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64) (*.f64 x x) #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64)) (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (pow.f64 x #s(literal 5 binary64))) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(fma.f64 (fma.f64 #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5)) |
(*.f64 #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* (pow x 2) (- (* 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)) 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000)))) |
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(* (pow x 5) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* (pow x 2) (- (* (pow x 2) (+ 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (* -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)))) 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000)))) |
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(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6))))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6450306886639899/50000000000000000 binary64)) (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (*.f64 x x)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x))) x) x) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (/.f64 #s(literal 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))) |
(fma.f64 #s(literal -238732414637843/250000000000000 binary64) x (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -238732414637843/250000000000000 binary64) x)) |
(* -1 (* (pow x 3) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))) |
(fma.f64 (-.f64 (-.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -238732414637843/250000000000000 binary64) x)) |
(/ 6450306886639899/50000000000000000 (pow x 2)) |
(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(/ (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x))) x) x) |
(/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))) (*.f64 x x)) |
(/ (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64)) (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
| 8 418× | lower-fma.f32 |
| 8 412× | lower-fma.f64 |
| 4 078× | lower-*.f32 |
| 4 064× | lower-*.f64 |
| 2 998× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 150 |
| 0 | 48 | 143 |
| 1 | 180 | 135 |
| 2 | 1153 | 135 |
| 0 | 8497 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
| Outputs |
|---|
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Compiled 27 230 to 2 301 computations (91.5% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 034 | 8 | 1 042 |
| Fresh | 4 | 0 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 043 | 9 | 1 052 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) | |
| ▶ | 99.2% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
| 73.8% | (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) x) | |
| ▶ | 48.7% | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
| ▶ | 48.6% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| ▶ | 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
| ✓ | 52.1% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
Compiled 154 to 122 computations (20.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
| 592× | lower-fma.f32 |
| 590× | lower-fma.f64 |
| 432× | lower-*.f32 |
| 418× | lower-*.f64 |
| 158× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 161 |
| 0 | 42 | 159 |
| 1 | 77 | 141 |
| 2 | 129 | 141 |
| 3 | 203 | 141 |
| 4 | 312 | 141 |
| 5 | 388 | 141 |
| 6 | 489 | 141 |
| 7 | 600 | 141 |
| 8 | 875 | 141 |
| 9 | 1118 | 141 |
| 10 | 1158 | 141 |
| 11 | 1162 | 141 |
| 12 | 1164 | 141 |
| 13 | 1167 | 141 |
| 14 | 1168 | 141 |
| 0 | 1168 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal -6450306886639899/50000000000000000 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal -6450306886639899/50000000000000000 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 0.18197250976844204 | (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 32.77228495664542 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) | |
| accuracy | 0.40625 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) | |
| accuracy | 0.8708687829291855 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.07421875 | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 33.548456192084686 | #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| accuracy | 0.109375 | (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) | |
| accuracy | 32.77228495664542 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.07421875 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
| 59.0ms | 256× | 0 | valid |
Compiled 140 to 27 computations (80.7% saved)
ival-mult: 16.0ms (37.3% of total)const: 11.0ms (25.6% of total)ival-pow: 6.0ms (14% of total)ival-div: 3.0ms (7% of total)ival-pow2: 3.0ms (7% of total)ival-sub: 2.0ms (4.7% of total)ival-add: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 238732414637843/250000000000000 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 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 (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) (patch (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | -inf | ((* (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000) x) (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000) (* x x) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* -6450306886639899/50000000000000000 x) (* (* x x) (* -6450306886639899/50000000000000000 x)) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* x x) -6450306886639899/50000000000000000) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow (pow x 3/2) 2) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow (pow x 3/2) 2) -6450306886639899/50000000000000000) (pow x 3/2)) |
| 3.0ms | x | @ | inf | ((* (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000) x) (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000) (* x x) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* -6450306886639899/50000000000000000 x) (* (* x x) (* -6450306886639899/50000000000000000 x)) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* x x) -6450306886639899/50000000000000000) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow (pow x 3/2) 2) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow (pow x 3/2) 2) -6450306886639899/50000000000000000) (pow x 3/2)) |
| 2.0ms | x | @ | 0 | ((* (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000) x) (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000) (* x x) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* -6450306886639899/50000000000000000 x) (* (* x x) (* -6450306886639899/50000000000000000 x)) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* x x) -6450306886639899/50000000000000000) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow (pow x 3/2) 2) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow (pow x 3/2) 2) -6450306886639899/50000000000000000) (pow x 3/2)) |
| 1× | egg-herbie |
| 4 792× | lower-fma.f64 |
| 4 792× | lower-fma.f32 |
| 3 084× | lower-*.f64 |
| 3 084× | lower-*.f32 |
| 2 764× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1132 |
| 1 | 176 | 1120 |
| 2 | 490 | 1110 |
| 3 | 1301 | 1110 |
| 4 | 3251 | 1110 |
| 5 | 7175 | 1110 |
| 0 | 8278 | 1041 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
250000000000000/238732414637843 |
(+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) |
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) |
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 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) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
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(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (/.f64 (-.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) x) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (*.f64 x x)) #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (pow (sqrt -1) 2))) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
| 10 992× | lower-fma.f32 |
| 10 990× | lower-fma.f64 |
| 5 604× | lower-*.f32 |
| 5 590× | lower-*.f64 |
| 2 494× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 131 |
| 0 | 42 | 123 |
| 1 | 147 | 111 |
| 2 | 792 | 111 |
| 3 | 7775 | 111 |
| 0 | 8886 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 x x) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
| Outputs |
|---|
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Compiled 27 301 to 2 198 computations (91.9% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 390 | 5 | 1 395 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 392 | 12 | 1 404 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
| ▶ | 48.7% | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) |
| ▶ | 51.6% | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
| 74.0% | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64)))) | |
| 77.7% | (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) x) | |
| ✓ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
| ✓ | 48.7% | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
| ▶ | 48.7% | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
| ✓ | 48.6% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ▶ | 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ✓ | 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
| ✓ | 52.1% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
Compiled 196 to 146 computations (25.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) | |
| cost-diff | -5824 | (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 6144 | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
| 752× | lower-fma.f32 |
| 750× | lower-fma.f64 |
| 608× | lower-*.f32 |
| 592× | lower-*.f64 |
| 248× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 170 |
| 0 | 48 | 169 |
| 1 | 83 | 157 |
| 2 | 119 | 157 |
| 3 | 163 | 157 |
| 4 | 217 | 157 |
| 5 | 270 | 157 |
| 6 | 344 | 157 |
| 7 | 427 | 157 |
| 8 | 665 | 157 |
| 9 | 855 | 157 |
| 10 | 1071 | 157 |
| 11 | 1244 | 157 |
| 12 | 1497 | 157 |
| 13 | 1602 | 157 |
| 14 | 1668 | 157 |
| 15 | 1720 | 157 |
| 16 | 1727 | 157 |
| 0 | 1727 | 151 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
x |
#s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) |
#s(literal 250000000000000/238732414637843 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
x |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
#s(literal -50000000000000000/6450306886639899 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
x |
#s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) |
#s(literal 250000000000000/238732414637843 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
x |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
#s(literal -50000000000000000/6450306886639899 binary64) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.40625 | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) | |
| accuracy | 0.4903412926976276 | (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) | |
| accuracy | 34.15308047686531 | #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) | |
| accuracy | 0.07421875 | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) | |
| accuracy | 0.09765625 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) | |
| accuracy | 33.548456192084686 | #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 32.77228495664542 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0.40625 | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) | |
| accuracy | 29.997323744346254 | #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.03515625 | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
| 75.0ms | 256× | 0 | valid |
Compiled 137 to 28 computations (79.6% saved)
const: 26.0ms (48.7% of total)ival-mult: 17.0ms (31.8% of total)ival-div: 6.0ms (11.2% of total)ival-sub: 2.0ms (3.7% of total)ival-add: 2.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) (patch (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) (patch #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) (patch (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) (patch #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (patch (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) (patch (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 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 (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) (patch (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) (patch (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) (patch (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) (patch (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 250000000000000/238732414637843 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) (patch #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) (patch #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) (patch #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) (patch #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 238732414637843/250000000000000 x) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) (patch #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6450306886639899/50000000000000000 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((+ (* x 238732414637843/250000000000000) (* (* (* x x) -6450306886639899/50000000000000000) x)) (* (* x x) -6450306886639899/50000000000000000) (* x x) (* (* (* x x) -6450306886639899/50000000000000000) x) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (* (* x x) x) -6450306886639899/50000000000000000) (* (* x x) x) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* -6450306886639899/50000000000000000 x) x) (* -6450306886639899/50000000000000000 x) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/ -50000000000000000/6450306886639899 (* x x))) |
| 2.0ms | x | @ | inf | ((+ (* x 238732414637843/250000000000000) (* (* (* x x) -6450306886639899/50000000000000000) x)) (* (* x x) -6450306886639899/50000000000000000) (* x x) (* (* (* x x) -6450306886639899/50000000000000000) x) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (* (* x x) x) -6450306886639899/50000000000000000) (* (* x x) x) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* -6450306886639899/50000000000000000 x) x) (* -6450306886639899/50000000000000000 x) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/ -50000000000000000/6450306886639899 (* x x))) |
| 2.0ms | x | @ | -inf | ((+ (* x 238732414637843/250000000000000) (* (* (* x x) -6450306886639899/50000000000000000) x)) (* (* x x) -6450306886639899/50000000000000000) (* x x) (* (* (* x x) -6450306886639899/50000000000000000) x) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (* (* x x) x) -6450306886639899/50000000000000000) (* (* x x) x) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (* -6450306886639899/50000000000000000 x) x) (* -6450306886639899/50000000000000000 x) (/ x (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/ -50000000000000000/6450306886639899 (* x x))) |
| 1× | egg-herbie |
| 6 038× | lower-fma.f64 |
| 6 038× | lower-fma.f32 |
| 2 742× | lower-*.f64 |
| 2 742× | lower-*.f32 |
| 1 478× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1268 |
| 1 | 160 | 1268 |
| 2 | 431 | 1256 |
| 3 | 1116 | 1256 |
| 4 | 2740 | 1256 |
| 5 | 5331 | 1256 |
| 0 | 8166 | 1190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
250000000000000/238732414637843 |
(+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) |
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) |
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
250000000000000/238732414637843 |
(+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) |
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) |
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 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) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* 238732414637843/250000000000000 x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
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(/.f64 (/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (*.f64 x x))) x) x) #s(literal 50000000000000000/6450306886639899 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (*.f64 x x)) #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 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) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (*.f64 x x))) x) x) #s(literal 50000000000000000/6450306886639899 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (*.f64 x x)) #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (*.f64 x x))) x) x) #s(literal 50000000000000000/6450306886639899 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (*.f64 x x)) #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
(/ -50000000000000000/6450306886639899 (pow x 2)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
| 12 980× | lower-fma.f32 |
| 12 978× | lower-fma.f64 |
| 5 988× | lower-*.f32 |
| 5 972× | lower-*.f64 |
| 2 326× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 153 |
| 0 | 48 | 140 |
| 1 | 168 | 140 |
| 2 | 960 | 140 |
| 0 | 8832 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
#s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
#s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) |
#s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) |
| Outputs |
|---|
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Compiled 9 043 to 1 190 computations (86.8% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 661 | 1 | 662 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 664 | 10 | 674 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
| ✓ | 51.6% | (/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
| 77.7% | (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) x) | |
| ✓ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
| 48.7% | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x)) x) | |
| ✓ | 48.7% | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
| ✓ | 48.7% | (*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
| ✓ | 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ✓ | 48.7% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
| ✓ | 52.1% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
Compiled 349 to 165 computations (52.7% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x)) x) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) x) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
2 calls:
| 8.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x)) x) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) x) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
2 calls:
| 12.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x)) x) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
2 calls:
| 6.0ms | x |
| 3.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) x) |
(*.f64 #s(approx (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
| Outputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | x |
| 97.9% | 2 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
Total -0.3b remaining (-1.1%)
Threshold costs -0.3b (-1.1%)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 x #s(approx (/ 1 (+ (* (* x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)) #s(literal 250000000000000/238732414637843 binary64))) |
| Outputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | x |
| 52.1% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2317.869709646684 | 8.673368104700079e-303 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 24× | *-commutative-binary64-*.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 12× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | distribute-rgt-neg-in-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 89 |
| 1 | 42 | 89 |
| 2 | 54 | 89 |
| 3 | 66 | 89 |
| 4 | 76 | 89 |
| 5 | 81 | 89 |
| 6 | 83 | 89 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(if (<=.f64 (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #s(literal -2000 binary64)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
| Outputs |
|---|
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(if (<=.f64 (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) #s(literal -2000 binary64)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -2000 binary64)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x x))) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
| 14 254× | lower-fma.f64 |
| 14 254× | lower-fma.f32 |
| 8 418× | lower-fma.f32 |
| 8 412× | lower-fma.f64 |
| 4 784× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 150 |
| 0 | 48 | 143 |
| 1 | 180 | 135 |
| 2 | 1153 | 135 |
| 0 | 8497 | 133 |
| 0 | 8 | 29 |
| 0 | 13 | 23 |
| 1 | 40 | 23 |
| 2 | 257 | 23 |
| 3 | 2531 | 23 |
| 0 | 8361 | 22 |
| 0 | 23 | 262 |
| 1 | 56 | 262 |
| 2 | 141 | 262 |
| 3 | 404 | 262 |
| 4 | 1234 | 262 |
| 5 | 3396 | 262 |
| 6 | 4954 | 262 |
| 7 | 6093 | 262 |
| 0 | 8081 | 253 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 152 to 80 computations (47.4% saved)
(negabs x)
Compiled 214 to 132 computations (38.3% saved)
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