
Time bar (total: 8.6s)
| 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 | 3× | 0 | invalid |
ival-add: 214.0ms (35.2% of total)ival-div: 110.0ms (18.1% of total)ival-mult: 103.0ms (16.9% of total)ival-sub: 99.0ms (16.3% of total)ival-sqrt: 62.0ms (10.2% of total)exact: 10.0ms (1.6% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% 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 |
| 57.0ms | 472× | 0 | valid |
| 7.0ms | 18× | 2 | valid |
| 3.0ms | 22× | 1 | valid |
Compiled 105 to 37 computations (64.8% saved)
ival-mult: 13.0ms (42.7% of total)ival-add: 5.0ms (16.4% of total)ival-sqrt: 4.0ms (13.1% of total)ival-div: 3.0ms (9.8% of total)ival-sub: 3.0ms (9.8% of total)adjust: 1.0ms (3.3% of total)exact: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 832× | lower-fma.f64 |
| 832× | lower-fma.f32 |
| 448× | lower-*.f32 |
| 444× | lower-*.f64 |
| 250× | times-frac |
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 15 to 11 computations (26.7% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.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 11 computations (26.7% 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))) |
| 832× | lower-fma.f64 |
| 832× | lower-fma.f32 |
| 448× | lower-*.f32 |
| 444× | lower-*.f64 |
| 250× | times-frac |
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 | 0.00390625 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0859375 | (/.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 | 236× | 0 | valid |
| 2.0ms | 9× | 2 | valid |
| 1.0ms | 11× | 1 | valid |
Compiled 45 to 13 computations (71.1% saved)
ival-mult: 3.0ms (25.6% of total)ival-div: 2.0ms (17.1% of total)ival-add: 2.0ms (17.1% of total)ival-sub: 2.0ms (17.1% of total)ival-sqrt: 2.0ms (17.1% of total)adjust: 1.0ms (8.5% 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)) |
| 1.0ms | 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 |
| 19 378× | lower-fma.f64 |
| 19 378× | lower-fma.f32 |
| 4 238× | lower-*.f64 |
| 4 238× | lower-*.f32 |
| 3 520× | lower-+.f64 |
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 (*.f64 (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)))) #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) (*.f64 (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)))) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 x (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 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) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (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))))) (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) (*.f64 (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))))) (*.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 #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) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (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) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 #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) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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) (/.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)))) (* -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) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (*.f64 (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))) 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) |
| 6 996× | lower-fma.f64 |
| 6 996× | lower-fma.f32 |
| 5 704× | lower-*.f32 |
| 5 700× | lower-*.f64 |
| 4 836× | lower-/.f32 |
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 |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -6 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) #s(literal 6 binary64))) |
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
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(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 x (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
Compiled 17 707 to 1 747 computations (90.1% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 11 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 582 | 11 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.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)))) | |
| 74.8% | (/.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)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -16 binary64) x))) | |
| ▶ | 99.9% | (/.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))) |
| 99.9% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt 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)))) | |
| ▶ | 54.4% | (/.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)))) |
| ▶ | 48.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 52.1% | (/.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)) |
| 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) | |
| ▶ | 51.9% | #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 322 to 230 computations (28.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (*.f64 x #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 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 | 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)) |
| 1 296× | lower-fma.f32 |
| 1 290× | lower-fma.f64 |
| 768× | lower-*.f32 |
| 760× | lower-*.f64 |
| 304× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 229 |
| 0 | 58 | 224 |
| 1 | 95 | 224 |
| 2 | 128 | 224 |
| 3 | 175 | 224 |
| 4 | 302 | 224 |
| 5 | 565 | 224 |
| 6 | 1404 | 224 |
| 7 | 1918 | 224 |
| 8 | 2186 | 224 |
| 9 | 2328 | 224 |
| 10 | 2347 | 224 |
| 11 | 2372 | 224 |
| 12 | 2381 | 224 |
| 13 | 2383 | 224 |
| 0 | 2383 | 216 |
| 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.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) |
| 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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 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 (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))) |
(/.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)) |
(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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) x) |
x |
#s(literal 6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.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)) |
(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) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0234375 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0859375 | (/.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 | 0.00390625 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0859375 | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| accuracy | 33.13800390281497 | #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0859375 | (/.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 | 29.173273272992894 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.16015625 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 30.769778228526885 | #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 | 0.00390625 | (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) | |
| accuracy | 0.02734375 | (*.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 | 0.04296875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
| 44.0ms | 236× | 0 | valid |
| 42.0ms | 9× | 2 | valid |
| 4.0ms | 11× | 1 | valid |
Compiled 213 to 29 computations (86.4% saved)
adjust: 39.0ms (56.9% of total)ival-mult: 9.0ms (13.1% of total)ival-div: 7.0ms (10.2% of total)ival-add: 7.0ms (10.2% of total)ival-sub: 4.0ms (5.8% of total)ival-sqrt: 2.0ms (2.9% of total)exact: 1.0ms (1.5% 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 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (patch #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 6 binary64)) (patch (*.f64 x #s(literal 6 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 #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 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* x 6) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* -4 (sqrt x)) -1) (+ (* (sqrt x) 4) x)) |
| 4.0ms | 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))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* x 6) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* -4 (sqrt x)) -1) (+ (* (sqrt x) 4) x)) |
| 3.0ms | 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))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* x 6) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* -4 (sqrt x)) -1) (+ (* (sqrt x) 4) x)) |
| 1× | egg-herbie |
| 7 842× | lower-fma.f64 |
| 7 842× | lower-fma.f32 |
| 3 628× | lower-*.f64 |
| 3 628× | lower-*.f32 |
| 3 116× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 5573 |
| 1 | 974 | 4972 |
| 2 | 3002 | 4771 |
| 0 | 8088 | 4308 |
| 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)))))) |
(- (* 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 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(/ -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) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 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)))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 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 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(/ -1 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 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))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) 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))) |
(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)))) |
(/ 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))) |
(* 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))) (/ 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))))))))) |
(* 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) |
(/ 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 (+ 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)))) |
(* -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 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -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)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) 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)))) |
(* -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 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(/ -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 (* 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))))) |
(* -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)))) |
(* 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) |
(/ -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)))) |
(* -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))))) |
(* 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)))) |
(* -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))) |
| Outputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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) (*.f64 (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)))) (/.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 #s(literal 4 binary64) (sqrt.f64 x) #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 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (*.f64 (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))))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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)))) (/.f64 #s(literal 1 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))) (fma.f64 x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.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 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 x (*.f64 (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))))) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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))) |
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (*.f64 (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))))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (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))))) x (+.f64 (/.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 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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)))) (/.f64 #s(literal 1 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)))) x (/.f64 #s(literal 1 binary64) (*.f64 (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))))) x (+.f64 (/.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))))) |
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) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 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)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 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))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 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))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (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)) |
(+ 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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
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(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 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) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 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 (fma.f64 (-.f64 #s(literal 0 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) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 6 binary64) x) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 0 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) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal -6 binary64) (/.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) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x)) 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)) |
(* 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)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 binary64) #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) |
| 4 918× | lower-/.f32 |
| 4 908× | lower-/.f64 |
| 4 678× | lower-fma.f32 |
| 4 672× | lower-fma.f64 |
| 4 354× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 180 |
| 0 | 58 | 175 |
| 1 | 226 | 175 |
| 2 | 1619 | 175 |
| 0 | 8349 | 169 |
| 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 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 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 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (fma.f64 (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)) (*.f64 x (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 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))))))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal -6 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #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 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 6 binary64))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal -6 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 16 binary64) x))) (neg.f64 (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 16 binary64) x)) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) |
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
Compiled 28 708 to 2 478 computations (91.4% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 095 | 14 | 1 109 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 102 | 18 | 1 120 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| ▶ | 54.4% | (/.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)))) |
| ✓ | 99.9% | (/.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))) |
| 99.9% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (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)))) | |
| 48.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| 4.5% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| 52.1% | (/.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))) | |
| 52.1% | (/.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)))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) | |
| 50.8% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) | |
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| ✓ | 51.9% | #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)))) |
| 4.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) | |
| ▶ | 51.9% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
| 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) | |
| ▶ | 3.8% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
| 4.0% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| ▶ | 4.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 413 to 289 computations (30% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #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 | (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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) | |
| cost-diff | 128 | (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 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 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| 2 720× | lower-fma.f32 |
| 2 708× | lower-fma.f64 |
| 1 700× | lower-*.f32 |
| 1 694× | lower-*.f64 |
| 722× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 278 |
| 0 | 69 | 273 |
| 1 | 114 | 269 |
| 2 | 173 | 267 |
| 3 | 232 | 267 |
| 4 | 313 | 267 |
| 5 | 483 | 267 |
| 6 | 857 | 267 |
| 7 | 1737 | 267 |
| 8 | 2997 | 267 |
| 9 | 4164 | 267 |
| 10 | 4513 | 267 |
| 11 | 4686 | 267 |
| 12 | 4754 | 267 |
| 13 | 4814 | 267 |
| 14 | 4814 | 267 |
| 15 | 5026 | 267 |
| 16 | 5086 | 267 |
| 17 | 5086 | 267 |
| 18 | 5204 | 267 |
| 19 | 5528 | 267 |
| 20 | 5528 | 267 |
| 21 | 5532 | 267 |
| 0 | 5532 | 262 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal -3/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) |
#s(literal -3/2 binary64) |
(sqrt.f64 x) |
x |
#s(literal -3/8 binary64) |
(neg.f64 x) |
(/.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)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
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))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) |
#s(literal -6 binary64) |
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) |
#s(literal 16 binary64) |
x |
#s(literal -1 binary64) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (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) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 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) |
x |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) |
#s(literal -3/2 binary64) |
(sqrt.f64 x) |
x |
#s(literal -3/8 binary64) |
(neg.f64 x) |
(/.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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.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) |
#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) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) |
#s(literal -6 binary64) |
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) |
#s(literal 16 binary64) |
x |
#s(literal -1 binary64) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) | |
| accuracy | 0.15625 | (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) | |
| accuracy | 30.769778228526885 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (/.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)))) | |
| accuracy | 29.173273272992894 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) | |
| accuracy | 0.13671875 | (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) | |
| accuracy | 30.769778228526885 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) | |
| accuracy | 62.94695413427927 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) | |
| accuracy | 0.125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.32421875 | (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 30.769778228526885 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 31.882334318877756 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.03125 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.04296875 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| 55.0ms | 236× | 0 | valid |
| 10.0ms | 11× | 1 | valid |
| 7.0ms | 9× | 2 | valid |
Compiled 222 to 40 computations (82% saved)
ival-div: 13.0ms (26.3% of total)ival-mult: 13.0ms (26.3% of total)ival-add: 9.0ms (18.2% of total)ival-neg: 5.0ms (10.1% of total)ival-sqrt: 4.0ms (8.1% of total)adjust: 2.0ms (4% of total)ival-sub: 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 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #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 (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)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<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 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (patch (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<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 #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 (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 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #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) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #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) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 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) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #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) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #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 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #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) (-.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)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (+ (* 4 (sqrt x)) -1)) |
| 4.0ms | x | @ | inf | ((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (+ (* 4 (sqrt x)) -1)) |
| 3.0ms | x | @ | 0 | ((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (+ (* 4 (sqrt x)) -1)) |
| 1× | egg-herbie |
| 15 072× | lower-fma.f64 |
| 15 072× | lower-fma.f32 |
| 4 844× | lower-*.f64 |
| 4 844× | lower-*.f32 |
| 4 666× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 5838 |
| 1 | 1289 | 5075 |
| 2 | 3761 | 4907 |
| 0 | 8068 | 4436 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -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 (+ 1 (* 4 (sqrt x)))) |
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ 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 (* 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 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) 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 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* -3/2 (sqrt x)) 3/8) |
(- (* -3/2 (sqrt x)) 3/8) |
(- (* -3/2 (sqrt x)) 3/8) |
(- (* -3/2 (sqrt x)) 3/8) |
(/ -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)))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 6 (- (* 4 (sqrt x)) 1)) |
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1)))) |
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1)))))) |
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt 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)))))) |
(- (* 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 (* 96 x)) |
(+ 6 (* x (+ 96 (* 1536 x)))) |
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x)))))) |
-1 |
(- (* 16 x) 1) |
(- (* 16 x) 1) |
(- (* 16 x) 1) |
(- (* 4 (sqrt x)) 1) |
(- (* 4 (sqrt x)) 1) |
(- (* 4 (sqrt x)) 1) |
(- (* 4 (sqrt x)) 1) |
(/ 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))))))) |
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(+ (* -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 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x) |
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) 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 (+ 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))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* 3/2 (sqrt (/ 1 x))) |
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 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))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* -3/2 (sqrt x)) |
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 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)))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))) |
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) 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))))))))) |
(/ -3/8 x) |
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x) |
(/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) (pow x 2))) (+ 3/8 (* 3/128 (/ 1 x)))) x) |
(* 16 x) |
(* x (- 16 (/ 1 x))) |
(* x (- 16 (/ 1 x))) |
(* x (- 16 (/ 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))) |
(/ -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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -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))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 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))))) |
(* -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 (- (* 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)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3/2 (* (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)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 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)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 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))))) |
(* -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)))) |
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(/ -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)))) |
(/ -3/8 x) |
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x)) |
(* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)) |
(* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x)) |
(* 16 x) |
(* -1 (* x (- (/ 1 x) 16))) |
(* -1 (* x (- (/ 1 x) 16))) |
(* -1 (* x (- (/ 1 x) 16))) |
(* -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)))) |
| Outputs |
|---|
(/ -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) (*.f64 (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)))) (/.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 (* 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 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 x (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)))) (/ 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 (+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 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))) x (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) 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 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 x (*.f64 (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)))) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 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 (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -6 binary64)) x)) 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 (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)))) |
(/.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) (*.f64 (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)))) (/.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 (* 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 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 x (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)))) (/ 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 (+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 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))) x (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) 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))) |
(* -3/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(* -3/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(* -3/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(* -3/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(/ -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) (*.f64 (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)))) (/.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 (* 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 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (+.f64 x (/.f64 x (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)))) |
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x) #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) |
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x) #s(literal -3/8 binary64) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/32 binary64) #s(literal -3/8 binary64))) (neg.f64 x))) |
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (/.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/32 binary64) #s(literal -3/8 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x) #s(literal 3/128 binary64) (fma.f64 #s(literal 3/512 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3/128 binary64))) x)) (neg.f64 x))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.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 (- (* 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 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (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 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)) (+.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) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 (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))))) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))) |
(/ -3/8 x) |
(/.f64 #s(literal -3/8 binary64) x) |
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x) |
(* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/2048 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 3/128 binary64) x)) (neg.f64 x)) |
(* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x)) |
(/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/32768 binary64) x) #s(literal 3/2048 binary64)) x)) x)) (neg.f64 x)) |
(* 16 x) |
(*.f64 #s(literal 16 binary64) x) |
(* -1 (* x (- (/ 1 x) 16))) |
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 16))) |
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 16))) |
(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)) |
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64))) |
| 4 806× | lower-/.f32 |
| 4 796× | lower-/.f64 |
| 4 642× | lower-fma.f32 |
| 4 630× | lower-fma.f64 |
| 4 098× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 240 |
| 0 | 69 | 235 |
| 1 | 283 | 224 |
| 2 | 1951 | 214 |
| 0 | 8549 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) |
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 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)))) |
(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))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) |
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 16 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (*.f64 (*.f64 x x) x) #s(literal -216 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (*.f64 (*.f64 x x) x) #s(literal -216 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 16 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (*.f64 (*.f64 x x) x) #s(literal -216 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (*.f64 (*.f64 x x) x) #s(literal -216 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 1/6 binary64))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (neg.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) x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(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)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
Compiled 25 621 to 2 767 computations (89.2% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 073 | 9 | 1 082 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 079 | 21 | 1 100 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt 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)))) | |
| ✓ | 54.4% | (/.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)))) |
| 7.0% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) | |
| ✓ | 99.9% | (/.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))) |
| 4.5% | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| 48.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| 52.1% | (/.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))) | |
| ▶ | 52.1% | (/.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)))) |
| 54.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) | |
| ▶ | 50.8% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
| ✓ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| ✓ | 51.9% | #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)))) |
| 53.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) | |
| 54.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) | |
| ▶ | 3.8% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
| 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) | |
| 3.8% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) | |
| ▶ | 4.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
| 4.0% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 4.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 436 to 301 computations (31% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (+.f64 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 (+.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 | 0 | (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) | |
| 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 | (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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| 1 744× | lower-fma.f32 |
| 1 738× | lower-fma.f64 |
| 1 056× | lower-*.f32 |
| 1 050× | lower-*.f64 |
| 510× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 265 |
| 0 | 66 | 261 |
| 1 | 102 | 257 |
| 2 | 123 | 257 |
| 3 | 155 | 257 |
| 4 | 234 | 257 |
| 5 | 428 | 257 |
| 6 | 1116 | 256 |
| 7 | 1734 | 256 |
| 8 | 2067 | 256 |
| 9 | 2262 | 256 |
| 10 | 2532 | 256 |
| 11 | 3172 | 256 |
| 12 | 3400 | 256 |
| 13 | 3580 | 256 |
| 14 | 3800 | 256 |
| 15 | 3839 | 256 |
| 16 | 3859 | 256 |
| 17 | 3885 | 256 |
| 18 | 3912 | 256 |
| 19 | 3912 | 256 |
| 20 | 3912 | 256 |
| 0 | 3912 | 248 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #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 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#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) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) |
#s(literal -3/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) |
#s(literal 3/2 binary64) |
(sqrt.f64 x) |
x |
#s(literal 3/8 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)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) |
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal 6 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 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 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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) |
(+.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) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) |
#s(literal -3/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) |
#s(literal 3/2 binary64) |
(sqrt.f64 x) |
x |
#s(literal 3/8 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)))) |
(/.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 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) |
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal 6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) | |
| accuracy | 0.04296875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) | |
| accuracy | 31.88660670422113 | #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0859375 | (/.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)))) | |
| accuracy | 30.999163165212153 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) | |
| accuracy | 0.13671875 | (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) | |
| accuracy | 30.769778228526885 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) | |
| accuracy | 62.94695413427927 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.25390625 | (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) | |
| accuracy | 30.769778228526885 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) | |
| accuracy | 31.882334318877756 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0 | (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0234375 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) | |
| accuracy | 0.0859375 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| 65.0ms | 236× | 0 | valid |
| 5.0ms | 9× | 2 | valid |
| 5.0ms | 11× | 1 | valid |
Compiled 206 to 38 computations (81.6% saved)
ival-div: 16.0ms (33.9% of total)ival-mult: 13.0ms (27.6% of total)ival-add: 10.0ms (21.2% of total)ival-sub: 4.0ms (8.5% of total)adjust: 2.0ms (4.2% of total)ival-sqrt: 2.0ms (4.2% of total)exact: 1.0ms (2.1% 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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) 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 (+.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 #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) (patch (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 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 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.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)))) #<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 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 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))))) (* 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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) 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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 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))))) (+ (* 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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) 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 (+.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>) () ())) ()) |
#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 (* 4 (sqrt x)) (taylor 0 x) (#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 (+ x (* 4 (sqrt x))) (taylor 0 x) (#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 (+ x (* 4 (sqrt x))) (taylor 0 x) (#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 (+ x (* 4 (sqrt x))) (taylor 0 x) (#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 (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 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 #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 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 #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 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 #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (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 (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1)) (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ (+ (* 3/2 (sqrt x)) 3/8) x) (+ (* 3/2 (sqrt x)) 3/8) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (+ (* -4 (sqrt x)) -1)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1)) (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ (+ (* 3/2 (sqrt x)) 3/8) x) (+ (* 3/2 (sqrt x)) 3/8) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (+ (* -4 (sqrt x)) -1)) |
| 2.0ms | x | @ | inf | ((/ (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1)) (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ (+ (* 3/2 (sqrt x)) 3/8) x) (+ (* 3/2 (sqrt x)) 3/8) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (+ (* -4 (sqrt x)) -1)) |
| 1× | egg-herbie |
| 13 728× | lower-fma.f64 |
| 13 728× | lower-fma.f32 |
| 4 912× | lower-+.f64 |
| 4 912× | lower-+.f32 |
| 4 634× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 423 | 5687 |
| 1 | 1247 | 5090 |
| 2 | 3952 | 4909 |
| 0 | 8604 | 4436 |
| 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)))))) |
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-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)))) |
(- (* 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)))))) |
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(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(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)))))) |
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(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ (+ 3/8 (* 3/2 (sqrt x))) x) |
(/ (+ 3/8 (* 3/2 (sqrt x))) x) |
(/ (+ 3/8 (* 3/2 (sqrt x))) x) |
(/ (+ 3/8 (* 3/2 (sqrt x))) x) |
(+ 3/8 (* 3/2 (sqrt x))) |
(+ 3/8 (* 3/2 (sqrt x))) |
(+ 3/8 (* 3/2 (sqrt x))) |
(+ 3/8 (* 3/2 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
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(- (* 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)))))) |
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-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ 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) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(/ 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))))))) |
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(* 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 (+ 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))))))) |
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(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt 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))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* 3/2 (sqrt (/ 1 x))) |
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(* 3/2 (sqrt x)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 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)))) |
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(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
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(+ (* -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 |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
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(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(/ -1 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
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(* -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 (- (* 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 (* 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 (- (* 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)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 1 x))) |
(* -3/2 (sqrt (/ 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 (- (* 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)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 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))))) |
(* -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)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -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)))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #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) (*.f64 (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)))) (/.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 #s(literal -4 binary64) (sqrt.f64 x) #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) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.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 #s(literal -4 binary64) (sqrt.f64 x) #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) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (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)))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.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 #s(literal -4 binary64) (sqrt.f64 x) #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)) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(+ x (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(+ x (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(+ x (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #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) (*.f64 (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)))) (/.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 #s(literal -4 binary64) (sqrt.f64 x) #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 #s(literal -6 binary64) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.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 #s(literal -4 binary64) (sqrt.f64 x) #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 #s(literal 6 binary64) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (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))))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (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))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (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)))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (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)))) (/.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 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
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(- (* -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) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (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))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))))) x)) x)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
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)) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/.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)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.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 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) x)) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.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 (neg.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.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) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 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) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) x)) x)) |
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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) (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 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* 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)))) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64) #s(literal -1 binary64)) |
| 5 026× | lower-/.f32 |
| 5 016× | lower-/.f64 |
| 4 254× | lower-*.f32 |
| 4 248× | lower-*.f64 |
| 3 984× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 231 |
| 0 | 66 | 227 |
| 1 | 271 | 223 |
| 2 | 1900 | 223 |
| 0 | 8305 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #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 x #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) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) |
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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)) #s(literal -6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) |
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))) |
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(/.f64 (*.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (fma.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (fma.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x))))) |
(fma.f64 #s(literal -1 binary64) x #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))))) |
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) |
(+.f64 (neg.f64 x) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x)) |
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) |
Compiled 24 216 to 2 286 computations (90.6% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 978 | 8 | 986 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 985 | 22 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (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)))) | |
| ✓ | 54.4% | (/.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)))) |
| 7.0% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) | |
| ✓ | 99.9% | (/.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))) |
| 48.2% | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| 4.5% | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| 52.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(approx (* 6 (- x 1)) #s(literal -6 binary64)))) | |
| 48.1% | (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) | |
| ✓ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| 50.8% | (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))) | |
| ✓ | 51.9% | #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)))) |
| 53.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) | |
| 54.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) | |
| ✓ | 3.8% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
| 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) | |
| 3.8% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) | |
| 4.0% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) | |
| ✓ | 4.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
| 4.0% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 4.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 770 to 288 computations (62.6% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (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)) (+.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))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #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 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(approx (* 6 (- x 1)) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) |
(/.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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt 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)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (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)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt 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)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (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)))) |
(/.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)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 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:
| 53.0ms | x |
| 10.0ms | (/.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 |
|---|---|---|
| 99.9% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (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)) (+.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))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #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 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
2 calls:
| 9.0ms | x |
| 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)))) |
| 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (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)) (+.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))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #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 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
2 calls:
| 110.0ms | (/.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)))) |
| 9.0ms | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (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)) (+.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))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 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)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) |
2 calls:
| 7.0ms | x |
| 6.0ms | (/.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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (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)) (+.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))) #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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 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 |
|---|---|---|
| 98.1% | 2 | x |
| 98.1% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 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)))) |
| 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)))) |
2 calls:
| 6.0ms | x |
| 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | x |
| 54.4% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 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)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)))) |
(/.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #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 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
2 calls:
| 42.0ms | (/.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)))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 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)))) |
| 54.1% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.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 |
|---|---|---|
| 4.5% | 1 | x |
| 4.5% | 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 17 to 12 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.30545386155370374 | 3.7094265985715644 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.30545386155370374 | 3.7094265985715644 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | egg-herbie |
| 22× | +-commutative_binary64 |
| 20× | *-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 226 |
| 1 | 93 | 226 |
| 2 | 104 | 226 |
| 3 | 111 | 226 |
| 4 | 112 | 226 |
| 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 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) 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 -3602879701896397/18014398509481984 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 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) 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 -3602879701896397/18014398509481984 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 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)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 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)) |
(*.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 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) 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 -3602879701896397/18014398509481984 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 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) 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 -3602879701896397/18014398509481984 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 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) 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 -3602879701896397/18014398509481984 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 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 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 -3602879701896397/18014398509481984 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 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 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)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
| 19 378× | lower-fma.f64 |
| 19 378× | lower-fma.f32 |
| 15 072× | lower-fma.f64 |
| 15 072× | lower-fma.f32 |
| 13 728× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 5838 |
| 1 | 1289 | 5075 |
| 2 | 3761 | 4907 |
| 0 | 8068 | 4436 |
| 0 | 341 | 5573 |
| 1 | 974 | 4972 |
| 2 | 3002 | 4771 |
| 0 | 8088 | 4308 |
| 0 | 36 | 180 |
| 0 | 58 | 175 |
| 1 | 226 | 175 |
| 2 | 1619 | 175 |
| 0 | 8349 | 169 |
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1058 | 829 |
| 3 | 3148 | 747 |
| 0 | 8504 | 670 |
| 0 | 44 | 240 |
| 0 | 69 | 235 |
| 1 | 283 | 224 |
| 2 | 1951 | 214 |
| 0 | 8549 | 214 |
| 0 | 423 | 5687 |
| 1 | 1247 | 5090 |
| 2 | 3952 | 4909 |
| 0 | 8604 | 4436 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 462 to 244 computations (47.2% saved)
Compiled 352 to 134 computations (61.9% saved)
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