
Time bar (total: 7.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.8% | 6.3% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 50% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 20 to 13 computations (35% saved)
| 1.5s | 7 257× | 1 | valid |
| 197.0ms | 558× | 2 | valid |
| 28.0ms | 441× | 0 | valid |
ival-div: 601.0ms (41.7% of total)adjust: 319.0ms (22.1% of total)ival-sub: 229.0ms (15.9% of total)ival-add: 185.0ms (12.8% of total)ival-fabs: 71.0ms (4.9% of total)ival->: 24.0ms (1.7% of total)exact: 9.0ms (0.6% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 82 | 0 | - | 0 | - | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 82 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 82 | 1 |
| - | 0 | 173 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 82 | 1 | 0 |
| - | 0 | 0 | 173 |
| number | freq |
|---|---|
| 0 | 174 |
| 1 | 82 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 450× | 1 | valid |
| 7.0ms | 34× | 2 | valid |
| 2.0ms | 28× | 0 | valid |
Compiled 111 to 34 computations (69.4% saved)
ival-div: 21.0ms (39.3% of total)adjust: 13.0ms (24.3% of total)ival-add: 9.0ms (16.8% of total)ival-sub: 9.0ms (16.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 384× | lower-fma.f64 |
| 384× | lower-fma.f32 |
| 160× | lower-*.f64 |
| 160× | lower-*.f32 |
| 144× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 32 | 32 |
| 2 | 87 | 30 |
| 3 | 223 | 30 |
| 4 | 437 | 30 |
| 5 | 544 | 30 |
| 6 | 577 | 30 |
| 7 | 582 | 30 |
| 0 | 10 | 15 |
| 0 | 17 | 15 |
| 1 | 28 | 15 |
| 2 | 46 | 15 |
| 3 | 74 | 15 |
| 4 | 134 | 15 |
| 5 | 248 | 15 |
| 6 | 389 | 15 |
| 7 | 499 | 15 |
| 8 | 546 | 15 |
| 0 | 546 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(negabs x)
Compiled 15 to 10 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.2% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 15 to 10 computations (33.3% 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 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 384× | lower-fma.f64 |
| 384× | lower-fma.f32 |
| 160× | lower-*.f64 |
| 160× | lower-*.f32 |
| 144× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 0 | 17 | 46 |
| 1 | 28 | 46 |
| 2 | 46 | 46 |
| 3 | 74 | 46 |
| 4 | 134 | 46 |
| 5 | 248 | 46 |
| 6 | 389 | 46 |
| 7 | 499 | 46 |
| 8 | 546 | 46 |
| 0 | 546 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0390625 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 18.398910414188776 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 55.0ms | 225× | 1 | valid |
| 4.0ms | 17× | 2 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 48 to 12 computations (75% saved)
ival-add: 28.0ms (56.9% of total)ival-div: 10.0ms (20.3% of total)adjust: 7.0ms (14.2% of total)ival-sub: 4.0ms (8.1% 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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.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 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 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 (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 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 (/ 2 (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<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 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 (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<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 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1) (- x 1)) |
| 1.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1) (- x 1)) |
| 1.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1) (- x 1)) |
| 1× | egg-herbie |
| 8 678× | lower-fma.f64 |
| 8 678× | lower-fma.f32 |
| 2 816× | lower--.f64 |
| 2 816× | lower--.f32 |
| 2 690× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 449 |
| 1 | 268 | 428 |
| 2 | 699 | 407 |
| 3 | 2214 | 394 |
| 4 | 6907 | 394 |
| 0 | 8110 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ -2 x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 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 |
#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)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) 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)) |
| 6 034× | lower-fma.f64 |
| 6 034× | lower-fma.f32 |
| 5 166× | lower-*.f64 |
| 5 166× | lower-*.f32 |
| 4 962× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 17 | 35 |
| 1 | 94 | 35 |
| 2 | 1095 | 35 |
| 0 | 8508 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal 2 binary64) x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (log1p.f64 x)) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 654 to 1 716 computations (88.3% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 482 | 15 | 497 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 482 | 16 | 498 |
| Status | Accuracy | Program |
|---|---|---|
| 71.4% | (/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 22.4% | (/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 23.1% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| 71.3% | (/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| 22.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) | |
| 19.1% | (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 71.3% | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 18.9% | (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 19.0% | (+.f64 (-.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 19.7% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) | |
| ✓ | 71.2% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 4.0% | (+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 69.8% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 69.9% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 97.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
Compiled 573 to 322 computations (43.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 384 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1344 | (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 384 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 512 | (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 13 606× | lower-fma.f64 |
| 13 606× | lower-fma.f32 |
| 3 164× | lower-*.f32 |
| 3 156× | lower-*.f64 |
| 1 762× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 283 |
| 0 | 57 | 265 |
| 1 | 105 | 265 |
| 2 | 230 | 253 |
| 3 | 617 | 241 |
| 4 | 1851 | 235 |
| 5 | 5364 | 217 |
| 0 | 8363 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) |
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
x |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) |
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) |
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal -2 binary64) x) |
x |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.5245291766012314 | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| accuracy | 60.308249700695185 | (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.02734375 | (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) | |
| accuracy | 18.398910414188776 | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) | |
| accuracy | 0.9190257632947678 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) | |
| accuracy | 18.398910414188776 | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 60.793326617931505 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.5323416766012314 | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.9295149782419302 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 196.0ms | 233× | 1 | valid |
| 9.0ms | 17× | 2 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 261 to 32 computations (87.7% saved)
ival-div: 54.0ms (34.1% of total)ival-add: 45.0ms (28.4% of total)adjust: 34.0ms (21.4% of total)ival-mult: 14.0ms (8.8% of total)ival-sub: 7.0ms (4.4% of total)ival-pow: 3.0ms (1.9% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<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 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 (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (- x 1) (+ x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x))) |
| 4.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (- x 1) (+ x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x))) |
| 3.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (- x 1) (+ x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x))) |
| 1× | egg-herbie |
| 13 074× | lower-fma.f64 |
| 13 074× | lower-fma.f32 |
| 4 252× | lower-*.f64 |
| 4 252× | lower-*.f32 |
| 2 290× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1697 |
| 1 | 349 | 1609 |
| 2 | 930 | 1552 |
| 3 | 3723 | 1507 |
| 0 | 8448 | 1456 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ -2 x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ -1 x) |
(/ (- (* -1 x) 1) x) |
(/ (- (* -1 x) 1) x) |
(/ (- (* -1 x) 1) x) |
(/ -2 x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
-2 |
(- (* -1 x) 2) |
(- (* -1 x) 2) |
(- (* -1 x) 2) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
2 |
2 |
2 |
2 |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* x (- (* -1 x) 1))) |
(+ 2 (* x (- (* -1 x) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(* -1 (+ 1 (/ 1 x))) |
(* -1 (+ 1 (/ 1 x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
2 |
2 |
2 |
2 |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(* -1 (+ 1 (/ 1 x))) |
(* -1 (+ 1 (/ 1 x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
2 |
2 |
2 |
2 |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 x) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 x) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 x) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
-2 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (- (* -1 x) 1))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* -1 x) 1))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 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 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 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)) |
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)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
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)) |
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)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
| 4 672× | lower-/.f32 |
| 4 656× | lower-/.f64 |
| 3 978× | lower-fma.f32 |
| 3 976× | lower-fma.f64 |
| 3 302× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 224 |
| 0 | 57 | 214 |
| 1 | 270 | 200 |
| 2 | 2765 | 200 |
| 0 | 8616 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (/.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))) (pow.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal -2 binary64) x)) |
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
Compiled 46 921 to 4 024 computations (91.4% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 686 | 5 | 1 691 |
| Fresh | 10 | 0 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 700 | 7 | 1 707 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| ✓ | 71.2% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ▶ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ▶ | 97.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 98.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 103 to 80 computations (22.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) | |
| cost-diff | -5056 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) | |
| cost-diff | -384 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) | |
| cost-diff | -5440 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) |
| 33 050× | lower-fma.f64 |
| 33 050× | lower-fma.f32 |
| 2 536× | lower-+.f32 |
| 2 534× | lower-+.f64 |
| 2 452× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 225 |
| 0 | 50 | 221 |
| 1 | 89 | 207 |
| 2 | 192 | 207 |
| 3 | 468 | 201 |
| 4 | 1296 | 195 |
| 5 | 3323 | 167 |
| 6 | 6268 | 167 |
| 0 | 8478 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal -3 binary64)) | |
| accuracy | 0 | (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.9295149782419302 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.06640625 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) | |
| accuracy | 0.651008292028908 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| accuracy | 0.9295149782419302 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.125 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| accuracy | 0.9295149782419302 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.5323416766012314 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.9295149782419302 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.5245291766012314 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| 93.0ms | 233× | 1 | valid |
| 8.0ms | 17× | 2 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 193 to 29 computations (85% saved)
ival-div: 19.0ms (27.4% of total)ival-mult: 18.0ms (26% of total)adjust: 12.0ms (17.3% of total)ival-add: 9.0ms (13% of total)ival-sub: 6.0ms (8.7% of total)ival-pow: 3.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -3 binary64)) (patch (pow.f64 x #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 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 (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -3 binary64)) (patch (pow.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -3 binary64)) (patch (pow.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -3 binary64)) (patch (pow.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (* (- x 1) (* (+ x 1) x))) |
| 2.0ms | x | @ | inf | ((* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (* (- x 1) (* (+ x 1) x))) |
| 2.0ms | x | @ | 0 | ((* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (* (- x 1) (* (+ x 1) x))) |
| 1× | egg-herbie |
| 9 418× | lower-fma.f64 |
| 9 418× | lower-fma.f32 |
| 3 376× | lower-*.f64 |
| 3 376× | lower-*.f32 |
| 1 796× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1443 |
| 1 | 162 | 1434 |
| 2 | 472 | 1385 |
| 3 | 1678 | 1335 |
| 4 | 5044 | 1335 |
| 0 | 8164 | 1306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
2 |
2 |
2 |
2 |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
2 |
2 |
2 |
2 |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
2 |
2 |
2 |
2 |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
| Outputs |
|---|
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 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)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 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)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
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)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
| 6 310× | lower-fma.f64 |
| 6 310× | lower-fma.f32 |
| 5 322× | lower-/.f32 |
| 5 310× | lower-/.f64 |
| 3 812× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 204 |
| 0 | 50 | 186 |
| 1 | 213 | 182 |
| 2 | 1895 | 182 |
| 0 | 8321 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 x)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 x)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3/2 binary64) (*.f64 (log.f64 x) #s(literal -3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
Compiled 10 589 to 1 451 computations (86.3% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 5 | 838 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 835 | 10 | 845 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
| ▶ | 99.8% | (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
| ▶ | 99.2% | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 99.1% | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| ▶ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | 97.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 98.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 136 to 104 computations (23.5% 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 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | -5056 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | -5952 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) |
| 21 376× | lower-fma.f32 |
| 21 372× | lower-fma.f64 |
| 2 388× | lower-+.f32 |
| 2 386× | lower-+.f64 |
| 2 360× | lower-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 373 |
| 0 | 53 | 336 |
| 1 | 100 | 328 |
| 2 | 234 | 324 |
| 3 | 554 | 285 |
| 4 | 1497 | 153 |
| 5 | 3782 | 153 |
| 6 | 5978 | 153 |
| 7 | 7886 | 153 |
| 0 | 8088 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 x x x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| accuracy | 0.07421875 | (/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.06640625 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) | |
| accuracy | 0.140625 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.9295149782419302 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5245291766012314 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| accuracy | 0.1171875 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) | |
| accuracy | 0.5245291766012314 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.639289542028908 | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) |
| 133.0ms | 233× | 1 | valid |
| 16.0ms | 17× | 2 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 354 to 34 computations (90.4% saved)
ival-div: 41.0ms (34.4% of total)ival-add: 35.0ms (29.4% of total)ival-mult: 19.0ms (15.9% of total)adjust: 17.0ms (14.3% of total)ival-sub: 7.0ms (5.9% 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(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* x (- (* 2 x) 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x 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 (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | -inf | ((/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x) (- x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) -1) x)) (+ (* x x) -1) (* (+ (* x x) -1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) x) (- x 1))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (+ 1 x)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x)) (- x 1)) (* (+ (* x x) x) (- x 1)) (/ (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (+ 1 x)) x) (+ 1 x)) |
| 2.0ms | x | @ | inf | ((/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x) (- x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) -1) x)) (+ (* x x) -1) (* (+ (* x x) -1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) x) (- x 1))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (+ 1 x)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x)) (- x 1)) (* (+ (* x x) x) (- x 1)) (/ (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (+ 1 x)) x) (+ 1 x)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x) (- x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) -1) x)) (+ (* x x) -1) (* (+ (* x x) -1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) x) (- x 1))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (+ 1 x)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (+ (* x x) x)) (- x 1)) (* (+ (* x x) x) (- x 1)) (/ (/ (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1)) (+ 1 x)) x) (+ 1 x)) |
| 1× | egg-herbie |
| 17 924× | lower-fma.f64 |
| 17 924× | lower-fma.f32 |
| 4 712× | lower-*.f64 |
| 4 712× | lower-*.f32 |
| 2 712× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1694 |
| 1 | 330 | 1642 |
| 2 | 873 | 1597 |
| 3 | 3516 | 1536 |
| 0 | 8513 | 1475 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 x) |
(/ (+ 2 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
2 |
2 |
2 |
2 |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
-2 |
(- (* -2 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) |
-2 |
(- (* -2 x) 2) |
(- (* x (- (* -2 x) 2)) 2) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
2 |
2 |
2 |
2 |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
2 |
2 |
2 |
2 |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 x)) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
-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)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
-2 |
#s(literal -2 binary64) |
(- (* -2 (pow x 2)) 2) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -2 x) 2) |
(fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) |
(- (* x (- (* -2 x) 2)) 2) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal -2 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
| 4 518× | lower-/.f32 |
| 4 518× | lower-fma.f32 |
| 4 514× | lower-fma.f64 |
| 4 500× | lower-/.f64 |
| 3 158× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 286 |
| 0 | 53 | 250 |
| 1 | 273 | 246 |
| 2 | 2655 | 246 |
| 0 | 8160 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
(fma.f64 x x x) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) |
(*.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (/.f64 x #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x x))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x x))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) x) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x)))) |
(/.f64 (*.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) (fma.f64 x x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) (fma.f64 x x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (/.f64 (neg.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))) (fma.f64 x x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x) |
(fma.f64 (neg.f64 x) (neg.f64 x) x) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (*.f64 x x) x) |
(+.f64 x (*.f64 x x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (log1p.f64 x)) |
Compiled 24 060 to 2 693 computations (88.8% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 513 | 0 | 1 513 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 513 | 10 | 1 523 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
| ✓ | 99.2% | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 99.1% | (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | 97.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 98.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 472 to 164 computations (65.3% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(+.f64 (-.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
2 calls:
| 29.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.0% | 1 | x |
| 5.0% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | *-rgt-identity-binary64-*.f64 |
| 2× | mul-1-neg-binary64-neg.f64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 130 |
| 1 | 42 | 130 |
| 2 | 45 | 130 |
| 3 | 49 | 130 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) |
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| 13 074× | lower-fma.f64 |
| 13 074× | lower-fma.f32 |
| 8 678× | lower-fma.f64 |
| 8 678× | lower-fma.f32 |
| 6 310× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 17 | 35 |
| 1 | 94 | 35 |
| 2 | 1095 | 35 |
| 0 | 8508 | 32 |
| 0 | 102 | 449 |
| 1 | 268 | 428 |
| 2 | 699 | 407 |
| 3 | 2214 | 394 |
| 4 | 6907 | 394 |
| 0 | 8110 | 388 |
| 0 | 36 | 224 |
| 0 | 57 | 214 |
| 1 | 270 | 200 |
| 2 | 2765 | 200 |
| 0 | 8616 | 185 |
| 0 | 126 | 1697 |
| 1 | 349 | 1609 |
| 2 | 930 | 1552 |
| 3 | 3723 | 1507 |
| 0 | 8448 | 1456 |
| 0 | 36 | 204 |
| 0 | 50 | 186 |
| 1 | 213 | 182 |
| 2 | 1895 | 182 |
| 0 | 8321 | 169 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 191 to 123 computations (35.6% saved)
Compiled 178 to 108 computations (39.3% saved)
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