
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 80% | 50% | 12.5% | 0% | 0% | 37.5% | 0% | 4 |
| 88.9% | 50% | 6.2% | 0% | 0% | 43.7% | 0% | 5 |
| 94.1% | 50% | 3.1% | 0% | 0% | 46.9% | 0% | 6 |
| 97% | 50% | 1.6% | 0% | 0% | 48.4% | 0% | 7 |
| 98.5% | 50% | 0.8% | 0% | 0% | 49.2% | 0% | 8 |
| 99.2% | 50% | 0.4% | 0% | 0% | 49.6% | 0% | 9 |
| 99.6% | 50% | 0.2% | 0% | 0% | 49.8% | 0% | 10 |
| 99.8% | 50% | 0.1% | 0% | 0% | 49.9% | 0% | 11 |
| 99.9% | 50% | 0% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 16 to 13 computations (18.8% saved)
| 1.0s | 8 256× | 0 | valid |
| 0.0ms | 7× | 0 | invalid |
ival-sub: 139.0ms (22.8% of total)ival-mult: 139.0ms (22.8% of total)ival-div: 112.0ms (18.4% of total)ival-sqrt: 100.0ms (16.4% of total)ival-add: 98.0ms (16.1% of total)exact: 12.0ms (2% of total)ival-true: 6.0ms (1% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (sqrt.f64 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 |
| 76.0ms | 482× | 0 | valid |
| 3.0ms | 20× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 147 to 48 computations (67.3% saved)
ival-mult: 7.0ms (27.4% of total)ival-add: 5.0ms (19.6% of total)ival-div: 4.0ms (15.7% of total)ival-sqrt: 4.0ms (15.7% of total)ival-sub: 3.0ms (11.8% of total)adjust: 1.0ms (3.9% of total)exact: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 34 | 32 |
| 2 | 94 | 30 |
| 3 | 290 | 30 |
| 4 | 691 | 30 |
| 5 | 1345 | 30 |
| 6 | 1616 | 30 |
| 7 | 1643 | 30 |
| 8 | 1645 | 30 |
| 0 | 11 | 14 |
| 0 | 18 | 14 |
| 1 | 31 | 14 |
| 2 | 52 | 14 |
| 3 | 59 | 14 |
| 4 | 79 | 14 |
| 5 | 115 | 14 |
| 6 | 184 | 14 |
| 7 | 294 | 14 |
| 8 | 527 | 14 |
| 9 | 801 | 14 |
| 10 | 1345 | 14 |
| 11 | 1599 | 14 |
| 12 | 1626 | 14 |
| 0 | 1626 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
Compiled 14 to 11 computations (21.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| cost-diff | 128 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 0 | 18 | 43 |
| 1 | 31 | 43 |
| 2 | 52 | 43 |
| 3 | 59 | 43 |
| 4 | 79 | 43 |
| 5 | 115 | 43 |
| 6 | 184 | 43 |
| 7 | 294 | 43 |
| 8 | 527 | 43 |
| 9 | 801 | 43 |
| 10 | 1345 | 43 |
| 11 | 1599 | 43 |
| 12 | 1626 | 43 |
| 0 | 1626 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.01171875 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 18.0ms | 241× | 0 | valid |
| 1.0ms | 10× | 1 | valid |
| 1.0ms | 5× | 2 | valid |
Compiled 88 to 24 computations (72.7% saved)
ival-mult: 3.0ms (23.9% of total)ival-sub: 2.0ms (15.9% of total)ival-div: 2.0ms (15.9% of total)ival-add: 2.0ms (15.9% of total)ival-sqrt: 2.0ms (15.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -6 (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 6 x) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x)) |
| 2.0ms | x | @ | inf | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x)) |
| 2.0ms | x | @ | 0 | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1058 | 829 |
| 3 | 3148 | 747 |
| 0 | 8504 | 670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 6 binary64))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -6 binary64))) x)) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) #s(literal -6 binary64))) x (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
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Compiled 15 687 to 1 768 computations (88.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 583 | 9 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 584 | 9 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| 77.2% | (/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) | |
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) |
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| ▶ | 60.4% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| 58.5% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| ▶ | 58.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
Compiled 254 to 206 computations (18.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) | |
| cost-diff | 0 | (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 255 |
| 0 | 61 | 252 |
| 1 | 114 | 250 |
| 2 | 180 | 250 |
| 3 | 305 | 250 |
| 4 | 659 | 250 |
| 5 | 1083 | 250 |
| 6 | 2206 | 250 |
| 7 | 3129 | 250 |
| 8 | 3647 | 250 |
| 9 | 3806 | 250 |
| 10 | 3832 | 250 |
| 11 | 3833 | 250 |
| 12 | 3833 | 250 |
| 13 | 3969 | 250 |
| 14 | 4033 | 250 |
| 15 | 4033 | 250 |
| 16 | 4033 | 250 |
| 0 | 4033 | 235 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal -4 binary64) |
(sqrt.f64 x) |
#s(literal -1 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) |
(*.f64 #s(literal 16 binary64) x) |
#s(literal 16 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
#s(literal -4 binary64) |
(sqrt.f64 x) |
#s(literal -1 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) x)) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) |
(-.f64 x (/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) |
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64)) |
(*.f64 #s(literal 16 binary64) x) |
#s(literal 16 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| accuracy | 0.00390625 | (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 25.36064585967567 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.109375 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 26.67219174794632 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) | |
| accuracy | 0.0390625 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
| 68.0ms | 241× | 0 | valid |
| 19.0ms | 10× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 474 to 67 computations (85.9% saved)
ival-div: 22.0ms (34.7% of total)ival-mult: 19.0ms (30% of total)ival-sub: 8.0ms (12.6% of total)ival-add: 8.0ms (12.6% of total)ival-sqrt: 2.0ms (3.2% of total)adjust: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 6 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -4 (sqrt x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt -6 (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* (sqrt x) 4) x) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x))) |
| 7.0ms | x | @ | inf | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* (sqrt x) 4) x) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x))) |
| 6.0ms | x | @ | 0 | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* (sqrt x) 4) x) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 529 | 5695 |
| 1 | 1569 | 5057 |
| 2 | 5163 | 4949 |
| 0 | 8291 | 4427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(- (* -4 (sqrt x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
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x |
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1))) |
(* -16 x) |
(* -1 (* x (- 16 (/ 1 x)))) |
(* -1 (* x (- 16 (/ 1 x)))) |
(* -1 (* x (- 16 (/ 1 x)))) |
(* 4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))) |
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))) |
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* 1/4 (sqrt (/ 1 x))) |
(* -1 (/ (- (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x)) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
| Outputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(-.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(- (* -4 (sqrt x)) 1) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
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(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal 6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64))) (neg.f64 x))) x)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1))) |
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) x) x)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) x)) x)) x) #s(literal 1 binary64)) x) |
(* -16 x) |
(*.f64 #s(literal -16 binary64) x) |
(* -1 (* x (- 16 (/ 1 x)))) |
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (- 16 (/ 1 x)))) |
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (- 16 (/ 1 x)))) |
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64)) |
(* 4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))) |
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))) |
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))) |
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* 1/4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (- (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) #s(literal -1/16 binary64)) x) |
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 x)) x) #s(literal 1/16 binary64))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/256 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal -1/16 binary64))) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 (fma.f64 x #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 (fma.f64 x #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x)))) x) (-.f64 x (fma.f64 (fma.f64 x #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) x) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 192 |
| 0 | 61 | 173 |
| 1 | 281 | 173 |
| 2 | 2207 | 173 |
| 0 | 9408 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) |
| Outputs |
|---|
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Compiled 40 719 to 4 012 computations (90.1% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 634 | 6 | 1 640 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 640 | 9 | 1 649 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| 60.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| 42.8% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| ▶ | 58.5% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| ✓ | 58.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ▶ | 44.4% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
| ▶ | 60.3% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
| ▶ | 41.6% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
Compiled 153 to 139 computations (9.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) | |
| cost-diff | 0 | (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 208 |
| 0 | 54 | 208 |
| 1 | 97 | 194 |
| 2 | 156 | 192 |
| 3 | 259 | 192 |
| 4 | 480 | 192 |
| 5 | 756 | 192 |
| 6 | 1504 | 192 |
| 7 | 2893 | 192 |
| 8 | 4257 | 192 |
| 9 | 4923 | 192 |
| 10 | 5115 | 192 |
| 11 | 5215 | 192 |
| 12 | 5252 | 192 |
| 13 | 5256 | 192 |
| 14 | 5440 | 192 |
| 15 | 5520 | 192 |
| 16 | 5520 | 192 |
| 17 | 5520 | 192 |
| 18 | 5552 | 192 |
| 19 | 5562 | 192 |
| 20 | 5562 | 192 |
| 21 | 5582 | 192 |
| 0 | 5582 | 185 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
#s(literal -6 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal -6 binary64) |
#s(literal 6 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
#s(literal -6 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (-.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal -6 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) |
(-.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal -6 binary64)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal -6 binary64) |
#s(literal 6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.11328125 | (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) | |
| accuracy | 0.1953125 | (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) | |
| accuracy | 35.57778618684837 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) | |
| accuracy | 0.00390625 | (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) | |
| accuracy | 0.11328125 | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 26.886837686286174 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| accuracy | 0 | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) | |
| accuracy | 25.432724274164173 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) | |
| accuracy | 37.38391031864327 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) | |
| accuracy | 0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.01171875 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| 59.0ms | 241× | 0 | valid |
| 5.0ms | 10× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 330 to 61 computations (81.5% saved)
ival-mult: 19.0ms (38.1% of total)ival-add: 13.0ms (26.1% of total)ival-div: 9.0ms (18% of total)ival-sub: 5.0ms (10% of total)adjust: 2.0ms (4% of total)ival-sqrt: 2.0ms (4% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (patch #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (- x -1)) |
| 5.0ms | x | @ | inf | ((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (- x -1)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 4298 |
| 1 | 1058 | 3877 |
| 2 | 3441 | 3755 |
| 0 | 8265 | 3305 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(+ 1 (* -4 (sqrt x))) |
(+ 1 (* -4 (sqrt x))) |
(+ 1 (* -4 (sqrt x))) |
(+ 1 (* -4 (sqrt x))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(* -6 (/ (+ 1 (* 4 (sqrt x))) x)) |
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) |
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) |
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(/ (+ 1 (* 4 (sqrt x))) x) |
(/ (+ 1 (* 4 (sqrt x))) x) |
(/ (+ 1 (* 4 (sqrt x))) x) |
(/ (+ 1 (* 4 (sqrt x))) x) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
6 |
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3)))))) |
(* 24 (sqrt x)) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3)))))) |
(* -4 (sqrt x)) |
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x))) |
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x))) |
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3)))))) |
(* 4 (sqrt (/ 1 x))) |
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x)) |
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x)) |
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x)) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(* 4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) |
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) |
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64)) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x x)) #s(literal 6 binary64))) x (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64)) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
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#s(literal 6 binary64) |
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#s(literal 6 binary64) |
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(+.f64 (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal 6 binary64)) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x)))) x) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 24 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -6 binary64)) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -6 binary64)) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -6 binary64)) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+.f64 (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal 6 binary64)) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x)))) x) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(* 4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -4 binary64) (sqrt.f64 x)) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+.f64 (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal 6 binary64)) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x)))) x) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x)) |
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) |
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 183 |
| 0 | 54 | 177 |
| 1 | 267 | 169 |
| 2 | 2094 | 151 |
| 0 | 10093 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
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Compiled 28 260 to 3 354 computations (88.1% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 234 | 5 | 1 239 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 238 | 10 | 1 248 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 60.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
| ▶ | 42.8% | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 58.5% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| ✓ | 58.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ▶ | 60.3% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
| ▶ | 45.3% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
| ▶ | 3.9% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
| ✓ | 41.6% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
Compiled 133 to 123 computations (7.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 258 |
| 0 | 69 | 258 |
| 1 | 114 | 249 |
| 2 | 169 | 243 |
| 3 | 273 | 239 |
| 4 | 489 | 239 |
| 5 | 759 | 239 |
| 6 | 1499 | 239 |
| 7 | 2847 | 239 |
| 8 | 4155 | 239 |
| 9 | 4831 | 239 |
| 10 | 5134 | 239 |
| 11 | 5246 | 239 |
| 12 | 5295 | 239 |
| 13 | 5300 | 239 |
| 14 | 5694 | 239 |
| 15 | 5895 | 239 |
| 16 | 5899 | 239 |
| 17 | 5907 | 239 |
| 18 | 5911 | 239 |
| 19 | 5911 | 239 |
| 20 | 5915 | 239 |
| 21 | 5915 | 239 |
| 22 | 5927 | 239 |
| 23 | 5969 | 239 |
| 24 | 5985 | 239 |
| 25 | 5985 | 239 |
| 26 | 5985 | 239 |
| 27 | 6003 | 239 |
| 28 | 6163 | 239 |
| 0 | 6163 | 231 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 24 binary64) (sqrt.f64 x)) |
#s(literal 24 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
#s(literal 24 binary64) |
(sqrt.f64 x) |
x |
#s(literal -6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
#s(literal -24 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 6 binary64) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
x |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(approx (- x -1) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(approx (- x -1) #s(literal 1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 24 binary64) (sqrt.f64 x)) |
#s(literal 24 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
#s(literal 24 binary64) |
(sqrt.f64 x) |
x |
#s(literal -6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)))) |
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) |
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) |
#s(literal -24 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 6 binary64) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
x |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.01171875 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 36.588413863755015 | #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) | |
| accuracy | 0.16796875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.19921875 | (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) | |
| accuracy | 34.91710619965518 | #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) | |
| accuracy | 35.57778618684837 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) | |
| accuracy | 25.432724274164173 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.32421875 | (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) | |
| accuracy | 25.432724274164173 | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) | |
| accuracy | 37.11553264506892 | #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.01171875 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) | |
| accuracy | 25.78527447489753 | #s(approx (- x -1) #s(literal 1 binary64)) |
| 176.0ms | 241× | 0 | valid |
| 5.0ms | 10× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 337 to 71 computations (78.9% saved)
ival-div: 106.0ms (64% of total)ival-mult: 38.0ms (23% of total)ival-add: 10.0ms (6% of total)ival-sub: 5.0ms (3% of total)ival-sqrt: 4.0ms (2.4% of total)adjust: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) (patch #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (patch (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (patch (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (patch #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 6 binary64) x) (patch (*.f64 #s(literal 6 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x -1) #s(literal 1 binary64)) (patch #s(approx (- x -1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (* 24 (sqrt x)) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* 24 (sqrt x)) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (* 6 x) (+ (* (sqrt x) 4) (- x -1)) (- x -1)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (* 24 (sqrt x)) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* 24 (sqrt x)) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (* 6 x) (+ (* (sqrt x) 4) (- x -1)) (- x -1)) |
| 2.0ms | x | @ | inf | ((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (* 24 (sqrt x)) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* 24 (sqrt x)) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (* 6 x) (+ (* (sqrt x) 4) (- x -1)) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 4285 |
| 1 | 841 | 3838 |
| 2 | 2805 | 3520 |
| 0 | 8463 | 3098 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(* -6 (- 1 (* 4 (sqrt x)))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) |
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) |
(* -6 (/ (+ 1 (* 4 (sqrt x))) x)) |
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) |
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) |
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) |
(* -24 (sqrt (/ 1 x))) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
6 |
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3)))))) |
(* 24 (sqrt x)) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
6 |
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3)))))) |
(* 24 (sqrt x)) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))))) |
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3)))))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x))) |
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x))) |
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
6 |
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x))) |
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x))) |
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x))) |
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -6 (- 1 (* 4 (sqrt x)))) |
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 228 |
| 0 | 69 | 222 |
| 1 | 300 | 215 |
| 2 | 2271 | 194 |
| 0 | 10023 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) |
(sqrt.f64 x) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 24 binary64) (sqrt.f64 x)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) |
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- x -1) #s(literal 1 binary64)) |
| Outputs |
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Compiled 18 025 to 2 207 computations (87.8% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 1 | 787 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 787 | 10 | 797 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 60.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
| ✓ | 42.8% | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 58.5% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| ✓ | 58.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ✓ | 60.3% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
| 45.3% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) | |
| ✓ | 3.9% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
| ✓ | 41.6% | #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
Compiled 335 to 166 computations (50.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) |
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
2 calls:
| 8.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
2 calls:
| 5.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
| 99.0% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
2 calls:
| 5.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
| 99.0% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
2 calls:
| 4.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
| 99.0% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
| 99.0% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x |
| 98.2% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
Total -24.3b remaining (-64.9%)
Threshold costs -24.3b (-64.9%)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
2 calls:
| 41.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 1 | x |
| 41.6% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.998344834764293 | 5.923159077700395 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.998344834764293 | 5.923159077700395 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.998344834764293 | 5.923159077700395 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.998344834764293 | 5.923159077700395 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.998344834764293 | 5.923159077700395 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 438 |
| 1 | 85 | 438 |
| 2 | 95 | 438 |
| 3 | 103 | 438 |
| 4 | 105 | 438 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 0 | 38 | 192 |
| 0 | 61 | 173 |
| 1 | 281 | 173 |
| 2 | 2207 | 173 |
| 0 | 9408 | 165 |
| 0 | 52 | 228 |
| 0 | 69 | 222 |
| 1 | 300 | 215 |
| 2 | 2271 | 194 |
| 0 | 10023 | 188 |
| 0 | 529 | 5695 |
| 1 | 1569 | 5057 |
| 2 | 5163 | 4949 |
| 0 | 8291 | 4427 |
| 0 | 341 | 4298 |
| 1 | 1058 | 3877 |
| 2 | 3441 | 3755 |
| 0 | 8265 | 3305 |
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1058 | 829 |
| 3 | 3148 | 747 |
| 0 | 8504 | 670 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 531 to 312 computations (41.2% saved)
Compiled 430 to 140 computations (67.4% saved)
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