
Time bar (total: 8.2s)
| 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)
| 866.0ms | 8 256× | 0 | valid |
| 1.0ms | 14× | 0 | invalid |
ival-add: 258.0ms (39.5% of total)ival-sub: 142.0ms (21.8% of total)ival-mult: 119.0ms (18.2% of total)ival-sqrt: 63.0ms (9.7% of total)ival-div: 49.0ms (7.5% of total)exact: 12.0ms (1.8% of total)ival-true: 6.0ms (0.9% 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 |
| 91.0ms | 482× | 0 | valid |
| 3.0ms | 18× | 1 | valid |
| 2.0ms | 12× | 2 | valid |
Compiled 104 to 37 computations (64.4% saved)
ival-mult: 64.0ms (78.6% of total)ival-add: 5.0ms (6.1% of total)ival-sqrt: 4.0ms (4.9% of total)ival-div: 3.0ms (3.7% of total)ival-sub: 3.0ms (3.7% of total)adjust: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 34 | 32 |
| 2 | 94 | 30 |
| 3 | 290 | 30 |
| 4 | 691 | 30 |
| 5 | 1345 | 30 |
| 6 | 1616 | 30 |
| 7 | 1643 | 30 |
| 8 | 1645 | 30 |
| 0 | 11 | 14 |
| 0 | 18 | 14 |
| 1 | 31 | 14 |
| 2 | 52 | 14 |
| 3 | 59 | 14 |
| 4 | 79 | 14 |
| 5 | 115 | 14 |
| 6 | 184 | 14 |
| 7 | 294 | 14 |
| 8 | 527 | 14 |
| 9 | 801 | 14 |
| 10 | 1345 | 14 |
| 11 | 1599 | 14 |
| 12 | 1626 | 14 |
| 0 | 1626 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
Compiled 14 to 11 computations (21.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| cost-diff | 128 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 0 | 18 | 43 |
| 1 | 31 | 43 |
| 2 | 52 | 43 |
| 3 | 59 | 43 |
| 4 | 79 | 43 |
| 5 | 115 | 43 |
| 6 | 184 | 43 |
| 7 | 294 | 43 |
| 8 | 527 | 43 |
| 9 | 801 | 43 |
| 10 | 1345 | 43 |
| 11 | 1599 | 43 |
| 12 | 1626 | 43 |
| 0 | 1626 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0625 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 17.0ms | 241× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
Compiled 45 to 13 computations (71.1% saved)
ival-mult: 3.0ms (25.5% of total)ival-div: 2.0ms (17% of total)ival-add: 2.0ms (17% of total)ival-sub: 2.0ms (17% of total)ival-sqrt: 2.0ms (17% 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)) |
| 2.0ms | x | @ | 0 | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1058 | 829 |
| 3 | 3148 | 747 |
| 0 | 8504 | 670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 6 binary64))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -6 binary64))) x)) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) #s(literal -6 binary64))) x (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
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Compiled 15 687 to 1 768 computations (88.7% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 582 | 10 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 583 | 10 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| 64.6% | (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 72.5% | (/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) | |
| ▶ | 73.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
| 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| ▶ | 52.0% | (/.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)))) |
| 49.7% | (/.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)))) | |
| ▶ | 100.0% | (*.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)) |
| ▶ | 51.2% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ▶ | 49.5% | #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 308 to 238 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 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))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 1536 | (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 260 |
| 0 | 62 | 248 |
| 1 | 104 | 247 |
| 2 | 164 | 247 |
| 3 | 260 | 247 |
| 4 | 524 | 247 |
| 5 | 957 | 247 |
| 6 | 2316 | 240 |
| 7 | 4011 | 240 |
| 8 | 5328 | 240 |
| 9 | 6395 | 240 |
| 10 | 7246 | 240 |
| 11 | 7585 | 240 |
| 12 | 7817 | 240 |
| 13 | 7869 | 240 |
| 0 | 9183 | 233 |
| 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) |
#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) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0625 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| accuracy | 16.40180025607883 | (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.14453125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 31.182657403125674 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0625 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 30.726704255577896 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.171875 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 32.30735553934452 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) | |
| accuracy | 0.0078125 | (*.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 | 0.02734375 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
| 156.0ms | 241× | 0 | valid |
| 4.0ms | 9× | 1 | valid |
| 4.0ms | 6× | 2 | valid |
Compiled 243 to 36 computations (85.2% saved)
ival-mult: 52.0ms (54.4% of total)ival-div: 25.0ms (26.2% of total)ival-add: 7.0ms (7.3% of total)ival-sub: 5.0ms (5.2% of total)ival-sqrt: 4.0ms (4.2% of total)adjust: 1.0ms (1% of total)exact: 1.0ms (1% 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 #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4)) (/ (* 6 (- x 1)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4))) (/ 1 x) (/ 1 (- 1 x))) |
| 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))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4)) (/ (* 6 (- x 1)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4))) (/ 1 x) (/ 1 (- 1 x))) |
| 4.0ms | x | @ | 0 | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4)) (/ (* 6 (- x 1)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4))) (/ 1 x) (/ 1 (- 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 380 | 5622 |
| 1 | 1084 | 4971 |
| 2 | 3315 | 4780 |
| 0 | 8487 | 4334 |
| 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)))) |
(/ -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)))))) |
(* 3/2 (sqrt x)) |
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(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(* 4 (sqrt (/ 1 x))) |
(/ (+ x (* 4 (sqrt x))) x) |
(/ (+ x (* 4 (sqrt x))) x) |
(/ (+ x (* 4 (sqrt x))) x) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 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)))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
1 |
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(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 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)))) |
(- (+ (* 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)))) |
(/ 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 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(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)))) |
(/ 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))))))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) 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))))) |
(/ -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 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 1 (* 4 (* (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)) |
(* -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)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
| Outputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
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(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) x) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(/ 6 (+ 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 (* 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 (* 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 (* 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))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) x) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 200 |
| 0 | 62 | 194 |
| 1 | 263 | 176 |
| 2 | 2029 | 176 |
| 0 | 8681 | 171 |
| 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))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.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) (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)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
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Compiled 32 711 to 3 827 computations (88.3% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 300 | 13 | 1 313 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 305 | 18 | 1 323 |
| Status | Accuracy | Program |
|---|---|---|
| 73.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| 52.0% | (/.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)))) | |
| 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| 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)))) | |
| ▶ | 49.7% | (/.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)))) |
| ▶ | 99.9% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) |
| 52.0% | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| ✓ | 100.0% | (*.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)) |
| 51.5% | (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) | |
| ▶ | 52.0% | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
| 49.5% | (*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64)) | |
| 51.2% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) | |
| ✓ | 49.5% | #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)))) |
| 4.4% | #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))))) | |
| ▶ | 49.5% | #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)))) |
| ▶ | 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| 4.4% | #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 441 to 343 computations (22.2% 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 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 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 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (/ 6 (+ (* (sqrt (/ 1 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 (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) | |
| cost-diff | 320 | (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) | |
| cost-diff | 384 | (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 4992 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 388 |
| 0 | 74 | 365 |
| 1 | 142 | 365 |
| 2 | 342 | 311 |
| 3 | 1263 | 311 |
| 4 | 5745 | 311 |
| 0 | 8197 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 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 |
(/.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 x #s(literal 1 binary64)) (/.f64 #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 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#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 #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 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) 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 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) |
(/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) |
(/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) x) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
(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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 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 |
(/.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 x #s(literal 1 binary64)) (/.f64 #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 (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 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#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)))) |
#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 | (sqrt.f64 x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) | |
| accuracy | 0.162441259768442 | (*.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 | 32.30735553934452 | #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 | 0.046875 | (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 0.08203125 | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) | |
| accuracy | 30.726704255577896 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 | 0.11328125 | (/.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 | 32.54875190630668 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2890625 | (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) | |
| accuracy | 31.182657403125674 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) | |
| accuracy | 31.31770400768218 | #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) | |
| accuracy | 0.046875 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) |
| 70.0ms | 241× | 0 | valid |
| 4.0ms | 9× | 1 | valid |
| 4.0ms | 6× | 2 | valid |
Compiled 357 to 42 computations (88.2% saved)
ival-mult: 20.0ms (34.9% of total)ival-div: 15.0ms (26.1% of total)ival-add: 12.0ms (20.9% of total)ival-sub: 4.0ms (7% of total)ival-sqrt: 4.0ms (7% of total)adjust: 1.0ms (1.7% of total)exact: 1.0ms (1.7% 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) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (patch (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (patch (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 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 (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ 6 (+ (* (sqrt (/ 1 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 (+.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 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) (patch (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (patch (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | inf | ((/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (sqrt x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x))))) (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (/ (- (+ (* (sqrt x) -4) -1) x) x) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) 6)) |
| 7.0ms | x | @ | -inf | ((/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (sqrt x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x))))) (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (/ (- (+ (* (sqrt x) -4) -1) x) x) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) 6)) |
| 5.0ms | x | @ | 0 | ((/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (sqrt x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x))))) (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (/ (- (+ (* (sqrt x) -4) -1) x) x) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) 6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 629 | 8312 |
| 1 | 1891 | 7179 |
| 2 | 6196 | 7111 |
| 0 | 8339 | 6407 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (- (* -4 (sqrt x)) 1)) |
(+ (* x (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))) (- (* -4 (sqrt x)) 1))) (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 4))) (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 4)))))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(/ (- (* -4 (sqrt x)) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* 4 (sqrt (pow x 3)))) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x) |
(/ (- (* -4 (sqrt x)) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 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)))))) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(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) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 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) |
(/ 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)))) |
(* 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) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/ (pow (- (* -4 (sqrt x)) 1) 2) x) |
(/ (+ (* -2 (* x (- (* -4 (sqrt x)) 1))) (pow (- (* -4 (sqrt x)) 1) 2)) x) |
(/ (+ (* x (+ x (* -2 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) x) |
(/ (+ (* x (+ x (* -2 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) x) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(+ (* 6 (* x (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
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(- (* 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))) |
(/ -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))))) |
(* 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))) |
(* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) |
(- (* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) |
(- (* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) |
(* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) |
(* -1 (* x (+ (* -2 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(/ 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)))) (* 6 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 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))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 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)))))))) (* -6 (/ (+ (* -2 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 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))))))) (+ 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))) (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x))) 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))))))) |
| Outputs |
|---|
(/ 1 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ (* x (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))) (- (* -4 (sqrt x)) 1))) (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 4))) (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 4)))))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))))) x (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(/ (- (* -4 (sqrt x)) 1) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(/ (- (+ (* -4 (sqrt x)) (* 4 (sqrt (pow x 3)))) 1) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x) |
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x) |
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x) |
(/ (- (* -4 (sqrt x)) 1) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x) |
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x) |
(- (* -4 (sqrt x)) 1) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #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) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #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) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #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 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -3/8 binary64) x)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) (fma.f64 (*.f64 x #s(literal -3/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3/128 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) x) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
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(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 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 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) |
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.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 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x)) x)) |
(- (* -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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal 6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64))) x)) x)) |
(/ -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 (/.f64 #s(literal 3/2048 binary64) 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))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) x))) |
(* -1 (* x (- (/ 1 x) 16))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) x))) |
(* -1 (* x (- (/ 1 x) 16))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) x))) |
(* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) |
(- (* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(- (* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(- (* -1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) |
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x) |
(* -1 (* x (+ (* -2 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x) #s(literal -2 binary64) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x) |
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x) |
(/ 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))))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* -1 (/ (+ (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 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))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(fma.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 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)))))))) (* -6 (/ (+ (* -2 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 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))))))) (+ 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))) (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x))) 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 (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 334 |
| 0 | 74 | 311 |
| 1 | 297 | 277 |
| 2 | 2438 | 277 |
| 0 | 9266 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.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 x #s(literal 1 binary64)) (/.f64 #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 x #s(literal 1 binary64)) |
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (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))) |
#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)) |
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) |
| Outputs |
|---|
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Compiled 68 213 to 5 647 computations (91.7% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 511 | 4 | 1 515 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 518 | 15 | 1 533 |
| Status | Accuracy | Program |
|---|---|---|
| 73.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| ▶ | 52.0% | (/.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)))) |
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| 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)))) | |
| ▶ | 49.7% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
| ▶ | 52.0% | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ✓ | 100.0% | (*.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)) |
| 50.3% | (*.f64 (/.f64 #s(approx (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) | |
| 51.5% | (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) | |
| ✓ | 52.0% | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
| 51.2% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) | |
| 50.7% | #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)))) | |
| ▶ | 51.8% | #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)))) |
| ✓ | 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
Compiled 351 to 279 computations (20.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 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 4 binary64) (sqrt.f64 x) x) | |
| cost-diff | 0 | (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 0 | #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)))) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 259 |
| 0 | 60 | 253 |
| 1 | 103 | 247 |
| 2 | 131 | 247 |
| 3 | 151 | 247 |
| 4 | 206 | 247 |
| 5 | 295 | 247 |
| 6 | 432 | 247 |
| 7 | 755 | 247 |
| 8 | 1272 | 247 |
| 9 | 2103 | 247 |
| 10 | 2662 | 247 |
| 11 | 2745 | 247 |
| 12 | 2782 | 247 |
| 13 | 2812 | 247 |
| 14 | 2831 | 247 |
| 15 | 2868 | 247 |
| 16 | 2884 | 247 |
| 17 | 2889 | 247 |
| 18 | 2890 | 247 |
| 0 | 2890 | 244 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#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)))) |
(*.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 (+ (* 16 x) -1)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
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)))) |
(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) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 6 binary64) |
| Outputs |
|---|
(/.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 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (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(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)))) |
(*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (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(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))) |
#s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
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)))) |
(/.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) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 30.726704255577896 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.11328125 | (/.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 | 30.726704255577896 | #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 | 0.01171875 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) | |
| accuracy | 0.11328125 | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) | |
| accuracy | 32.54875190630668 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.162441259768442 | (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) | |
| accuracy | 32.25985871598307 | #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) | |
| accuracy | 32.30735553934452 | #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)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.01171875 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) | |
| accuracy | 0.0625 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
| 79.0ms | 241× | 0 | valid |
| 4.0ms | 9× | 1 | valid |
| 4.0ms | 6× | 2 | valid |
Compiled 219 to 35 computations (84% saved)
ival-add: 42.0ms (61.9% of total)ival-mult: 11.0ms (16.2% of total)ival-div: 9.0ms (13.3% of total)adjust: 2.0ms (2.9% of total)ival-sub: 2.0ms (2.9% 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 #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))) (+.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 x #s(literal 1 binary64)) (patch (-.f64 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 #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (patch #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 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 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (patch #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<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 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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>) () ()) |
#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 (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 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 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.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 (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #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)))) (patch #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)))) #<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(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 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 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.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 #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 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 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 6 (- (* 4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1)))))) (taylor 0 x) (#s(alt (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1)))))))) (taylor 0 x) (#s(alt (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (patch #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 96 x)) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (patch #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* x (+ 96 (* 1536 x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (patch #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x)))))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (patch #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (sqrt x)) 1) (taylor 0 x) (#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 (- (* 4 (sqrt x)) 1) (taylor 0 x) (#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 (- (* 4 (sqrt x)) 1) (taylor 0 x) (#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 (- (* 4 (sqrt x)) 1) (taylor 0 x) (#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 (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -6 (taylor 0 x) (#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 (- (* 6 x) 6) (taylor 0 x) (#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 (- (* 6 x) 6) (taylor 0 x) (#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 (- (* 6 x) 6) (taylor 0 x) (#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 (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (sqrt x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 37.0ms | x | @ | -inf | ((* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (- x 1) (+ (+ (* (sqrt x) 4) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1) (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1)) (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1) (+ (* 4 (sqrt x)) x) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) x) (sqrt x)) |
| 2.0ms | x | @ | inf | ((* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (- x 1) (+ (+ (* (sqrt x) 4) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1) (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1)) (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1) (+ (* 4 (sqrt x)) x) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) x) (sqrt x)) |
| 2.0ms | x | @ | 0 | ((* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (- x 1) (+ (+ (* (sqrt x) 4) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1) (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1)) (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1) (+ (* 4 (sqrt x)) x) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) x) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 5851 |
| 1 | 1112 | 5135 |
| 2 | 3312 | 5013 |
| 0 | 8723 | 4485 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-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)))) |
(/ -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 (- (* 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 |
(+ 6 (* 96 x)) |
(+ 6 (* x (+ 96 (* 1536 x)))) |
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x)))))) |
(- (* 4 (sqrt x)) 1) |
(- (* 4 (sqrt x)) 1) |
(- (* 4 (sqrt x)) 1) |
(- (* 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 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (+ 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 (+ 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 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 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)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt 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)))) |
(/ 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))) |
(+ (* -3/2 (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))))) |
(/ -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) |
(* 4 (sqrt x)) |
(* x (- (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (- (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (- (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 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))) |
(/ 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))))))))) |
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(* 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))))) |
(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))) |
(/ -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))))) |
(/ -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)) (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)))) |
(/ -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)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/ -6 (- (* 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)))) |
(/ -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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 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))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* (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)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (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 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (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 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -6 (* 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(* 6 (- (* 4 (sqrt x)) 1)) |
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) |
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1)))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) |
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1)))))) |
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1536 binary64) x #s(literal 96 binary64)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 24576 binary64) x #s(literal 1536 binary64))) x (fma.f64 #s(literal 384 binary64) (sqrt.f64 x) #s(literal -96 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 96 x)) |
(fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64)) |
(+ 6 (* x (+ 96 (* 1536 x)))) |
(fma.f64 (fma.f64 #s(literal 1536 binary64) x #s(literal 96 binary64)) x #s(literal 6 binary64)) |
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 24576 binary64) x #s(literal 1536 binary64)) x #s(literal 96 binary64)) x #s(literal 6 binary64)) |
(- (* 4 (sqrt x)) 1) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* 4 (sqrt x)) 1) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* 4 (sqrt x)) 1) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* 4 (sqrt x)) 1) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (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 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 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)) |
(* 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)))) |
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(/ -6 (- (* 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 (* 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))))) |
(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 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(- (* -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)))) |
(-.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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (-.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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -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)))) |
(-.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 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) |
(* 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 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -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 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal -6 binary64) (fma.f64 #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 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (-.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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) |
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.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)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(-.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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(-.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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 222 |
| 0 | 60 | 216 |
| 1 | 276 | 210 |
| 2 | 1596 | 210 |
| 0 | 8716 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #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)))) |
(*.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 (+ (* 16 x) -1)) #s(literal 6 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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)) |
#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 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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) x) |
(sqrt.f64 x) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 25 755 to 2 667 computations (89.6% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 146 | 5 | 1 151 |
| Fresh | 2 | 5 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 150 | 16 | 1 166 |
| Status | Accuracy | Program |
|---|---|---|
| 73.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| 99.8% | (/.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))) | |
| ✓ | 52.0% | (/.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)))) |
| 6.8% | (/.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))))) | |
| 4.5% | (/.f64 #s(approx (+ (* x 6) -6) (*.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)))) | |
| 51.3% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) | |
| ✓ | 49.7% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
| ✓ | 52.0% | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ✓ | 100.0% | (*.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)) |
| 50.3% | (*.f64 (/.f64 #s(approx (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) | |
| 51.5% | (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) | |
| ✓ | 52.0% | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
| 51.2% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) | |
| 50.7% | #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)))) | |
| ✓ | 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| 51.8% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))) |
Compiled 653 to 296 computations (54.7% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.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(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 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 #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 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(approx (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 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)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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)) |
2 calls:
| 16.0ms | 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 |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.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(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 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 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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:
| 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 |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.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 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
2 calls:
| 24.0ms | (/.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 |
|---|---|---|
| 98.9% | 2 | x |
| 98.9% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
| 98.9% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.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)) #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(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
2 calls:
| 23.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
| 98.9% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | x |
| 52.0% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 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 (/.f64 #s(literal 1 binary64) 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)))) (*.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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 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)) (*.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 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 (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)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))) |
2 calls:
| 51.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 51.8% | 1 | x |
Compiled 15 to 12 computations (20% 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 (/ 1 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 (/ 1 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 |
|---|---|---|
| 4.3% | 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)))) |
| 4.3% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.921769379205513 | 5.9999972424891155 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.921769379205513 | 5.9999972424891155 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.921769379205513 | 5.9999972424891155 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 288 |
| 1 | 85 | 288 |
| 2 | 92 | 288 |
| 3 | 99 | 288 |
| 4 | 100 | 288 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.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 -5 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 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 (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 -5 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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 -5 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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 -5 binary64)) (*.f64 (/.f64 #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 x #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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 -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 380 | 5622 |
| 1 | 1084 | 4971 |
| 2 | 3315 | 4780 |
| 0 | 8487 | 4334 |
| 0 | 369 | 5851 |
| 1 | 1112 | 5135 |
| 2 | 3312 | 5013 |
| 0 | 8723 | 4485 |
| 0 | 629 | 8312 |
| 1 | 1891 | 7179 |
| 2 | 6196 | 7111 |
| 0 | 8339 | 6407 |
| 0 | 38 | 200 |
| 0 | 62 | 194 |
| 1 | 263 | 176 |
| 2 | 2029 | 176 |
| 0 | 8681 | 171 |
| 0 | 39 | 222 |
| 0 | 60 | 216 |
| 1 | 276 | 210 |
| 2 | 1596 | 210 |
| 0 | 8716 | 207 |
| 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 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 455 to 257 computations (43.5% saved)
Compiled 380 to 142 computations (62.6% saved)
Loading profile data...