
Time bar (total: 9.4s)
| 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)
| 1.4s | 7 333× | 1 | valid |
| 119.0ms | 509× | 2 | valid |
| 27.0ms | 414× | 0 | valid |
ival-div: 433.0ms (35.1% of total)adjust: 350.0ms (28.4% of total)ival-sub: 180.0ms (14.6% of total)ival-add: 167.0ms (13.5% of total)ival-fabs: 52.0ms (4.2% of total)ival->: 40.0ms (3.2% of total)exact: 9.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 93 | 163 | (-6.65285991154009e+223) | 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 | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 93 | 0 |
| - | 163 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 93 | 0 | 0 |
| - | 163 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 206.0ms | 444× | 1 | valid |
| 18.0ms | 42× | 2 | valid |
| 3.0ms | 26× | 0 | valid |
Compiled 203 to 80 computations (60.6% saved)
ival-div: 77.0ms (41.5% of total)adjust: 46.0ms (24.8% of total)ival-sub: 42.0ms (22.6% of total)ival-add: 19.0ms (10.2% of total)ival-true: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 67.9% | (+.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)))) |
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 | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 20.550869059918437 | (+.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)))) |
| 36.0ms | 221× | 1 | valid |
| 5.0ms | 22× | 2 | valid |
| 1.0ms | 13× | 0 | valid |
Compiled 94 to 22 computations (76.6% saved)
ival-div: 10.0ms (35.5% of total)adjust: 7.0ms (24.9% of total)ival-add: 6.0ms (21.3% of total)ival-sub: 4.0ms (14.2% 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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 #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) 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 (- (* x (- (* -1 x) 1)) 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 (- (* x (- (* x (- (* -1 x) 1)) 1)) 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 (/ 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 (/ 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 x) (/ 1 (pow x 2)))) 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 (pow x 2)) (/ 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 (/ 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 (/ 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 (/ (+ 1 (/ 1 x)) 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 (pow x 2)))) 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>) () ())) ()) |
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) (/ 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) (/ 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) (/ 1 (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 528 |
| 1 | 310 | 507 |
| 2 | 799 | 482 |
| 3 | 2550 | 458 |
| 4 | 7341 | 458 |
| 0 | 8299 | 450 |
| 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 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 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))) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) 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))) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
| 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 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1 x) 1)) 1) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 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 (/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) 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 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) 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 (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 0 | 17 | 37 |
| 1 | 94 | 37 |
| 2 | 1095 | 37 |
| 0 | 8508 | 34 |
| 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 13 851 to 1 578 computations (88.6% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 457 | 13 | 470 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 457 | 14 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.0% | (/.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)))) |
| ▶ | 19.1% | (/.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)))) |
| 19.9% | (/.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))) | |
| 67.9% | (/.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)) | |
| 19.1% | (/.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))))) | |
| 17.6% | (+.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)))) | |
| 17.7% | (+.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)))) | |
| 22.1% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #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)))) | |
| ✓ | 67.9% | (+.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)))) |
| 3.7% | (+.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)))) | |
| ▶ | 67.5% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 67.5% | (+.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)))) | |
| ▶ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
Compiled 481 to 270 computations (43.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 384 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1152 | (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))) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | (/.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)))) | |
| 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 | 0 | (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 285 |
| 0 | 60 | 264 |
| 1 | 112 | 264 |
| 2 | 234 | 243 |
| 3 | 606 | 243 |
| 4 | 1662 | 239 |
| 5 | 5205 | 221 |
| 0 | 8478 | 217 |
| 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 x #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)))) |
(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 (-.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 x #s(literal 1 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.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)))) |
(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 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 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
| 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 x #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 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(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) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) 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 x #s(literal 2 binary64) #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 x #s(literal 1 binary64)) |
(*.f64 x (-.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 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(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))) |
#s(literal 2 binary64) |
(-.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 x #s(literal 2 binary64) #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 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x x x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.7694433501780784 | (/.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)))) | |
| accuracy | 61.48622636381565 | (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))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.109375 | (/.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)))) | |
| accuracy | 60.03334835957763 | (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) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 0.2646380098097046 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) | |
| accuracy | 20.550869059918437 | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 60.732900550659764 | #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 | 0.2663935082813771 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.7772558501780784 | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
| 261.0ms | 134× | 2 | valid |
| 221.0ms | 120× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 502 to 64 computations (87.3% saved)
ival-div: 52.0ms (43.8% of total)adjust: 22.0ms (18.6% of total)ival-mult: 20.0ms (16.9% of total)ival-add: 11.0ms (9.3% of total)ival-sub: 8.0ms (6.7% of total)ival-pow: 3.0ms (2.5% of total)exact: 1.0ms (0.8% 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#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 (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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (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) (patch (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) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<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 (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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#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 (- (* -1 x) 2) (taylor 0 x) (#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>) () ())) ()) |
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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 (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)))) (patch (/.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)))) #<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 (-.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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 (/ 1 x)) x) (- -1 (/ 1 x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 1 (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1))) |
| 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 (/ 1 x)) x) (- -1 (/ 1 x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 1 (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1))) |
| 4.0ms | 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 (/ 1 x)) x) (- -1 (/ 1 x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 1 (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 1660 |
| 1 | 437 | 1613 |
| 2 | 1140 | 1537 |
| 3 | 3697 | 1467 |
| 0 | 8490 | 1426 |
| 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 |
(- (* -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 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
2 |
2 |
2 |
2 |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 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 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 (* 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 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
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 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) 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 (* 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 x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
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 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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) |
(/.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 (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) |
(/.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) |
(/ -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) |
(/.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 (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 |
#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) |
(/.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 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) |
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) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1 x) 1)) 1) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 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) |
(/.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) |
(* -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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) 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) x) 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) |
(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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) 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) |
(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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) 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 #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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) 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) x) 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) |
(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 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) 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 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) 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) |
(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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) 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 (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 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))) |
(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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 220 |
| 0 | 60 | 214 |
| 1 | 275 | 201 |
| 2 | 2557 | 201 |
| 0 | 8406 | 188 |
| 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 #s(literal -1 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) (+.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)))) |
(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) |
(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) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.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 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
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Compiled 22 111 to 2 214 computations (90% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 849 | 6 | 855 |
| Fresh | 8 | 0 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 862 | 7 | 869 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.3% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| 98.7% | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ▶ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ▶ | 98.3% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 104 to 84 computations (19.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | -384 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 205 |
| 0 | 45 | 205 |
| 1 | 82 | 191 |
| 2 | 154 | 183 |
| 3 | 300 | 183 |
| 4 | 803 | 183 |
| 5 | 2514 | 183 |
| 6 | 6305 | 183 |
| 0 | 8143 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
x |
(-.f64 x #s(literal 1 binary64)) |
#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 |
| Outputs |
|---|
#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)))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#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 |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) | |
| accuracy | 0.2663935082813771 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) | |
| accuracy | 0.6215262703233827 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| accuracy | 0.2663935082813771 | #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 | 0.09765625 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.2663935082813771 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.7772558501780784 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.109375 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 60.648121734532516 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) | |
| accuracy | 0 | (pow.f64 x #s(literal -3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.2663935082813771 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
| 657.0ms | 134× | 2 | valid |
| 77.0ms | 120× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 284 to 49 computations (82.7% saved)
ival-add: 496.0ms (74.7% of total)ival-div: 120.0ms (18.1% of total)adjust: 23.0ms (3.5% of total)ival-mult: 14.0ms (2.1% of total)ival-sub: 7.0ms (1.1% of total)ival-pow: 3.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.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>) () ()) |
| Outputs |
|---|
#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>) () ())) ()) |
#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 2 (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.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 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.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>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- 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)) |
| 2.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- 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)) |
| 2.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1473 |
| 1 | 234 | 1465 |
| 2 | 630 | 1421 |
| 3 | 1699 | 1369 |
| 4 | 6865 | 1369 |
| 0 | 8389 | 1349 |
| 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)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
-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 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 (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)) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(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)) |
(/ 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)) |
(* -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)) |
(/ 2 x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(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))) |
(/ 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)) |
| 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))) |
(/ 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))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(fma.f64 x x (neg.f64 x)) |
(* x (- x 1)) |
(fma.f64 x x (neg.f64 x)) |
(* x (- x 1)) |
(fma.f64 x x (neg.f64 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 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 (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 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 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 (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 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 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 (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 #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) (*.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)))) |
(/ (+ 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))) |
(/ 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))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 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) (*.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)))) |
(/ (+ 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))) |
(/ 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) (*.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)))) |
(/ (+ 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))) |
(/ 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 #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) (*.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)))) |
(/ (+ 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))) |
(/ 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 #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) (*.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)))) |
(/ (+ 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))) |
(/ 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 (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 #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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.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))) |
(/ 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))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) 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 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 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 #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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.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 #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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.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 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 #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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.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 (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 #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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.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 (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 187 |
| 0 | 45 | 173 |
| 1 | 206 | 173 |
| 2 | 1936 | 173 |
| 0 | 8468 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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)) |
(*.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) |
| Outputs |
|---|
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Compiled 6 589 to 947 computations (85.6% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 637 | 2 | 639 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 638 | 8 | 646 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.3% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
| ▶ | 98.7% | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ✓ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | 98.3% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 61 to 49 computations (19.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* x (- x 1)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 177 |
| 0 | 44 | 173 |
| 1 | 88 | 173 |
| 2 | 201 | 155 |
| 3 | 533 | 155 |
| 4 | 1595 | 149 |
| 5 | 4968 | 121 |
| 0 | 8508 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.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 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 x x) |
x |
| Outputs |
|---|
#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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(*.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 |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 x x) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.109375 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) | |
| accuracy | 0.6157600367836378 | #s(approx (* x (- x 1)) (*.f64 x x)) | |
| accuracy | 60.648121734532516 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0 | #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.7694433501780784 | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.2663935082813771 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| 251.0ms | 134× | 2 | valid |
| 150.0ms | 120× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 235 to 45 computations (80.9% saved)
ival-div: 183.0ms (67.3% of total)ival-add: 42.0ms (15.5% of total)ival-mult: 22.0ms (8.1% of total)adjust: 18.0ms (6.6% of total)ival-sub: 7.0ms (2.6% 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 #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 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 x) (taylor 0 x) (#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 (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#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 (/ (- (* (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 (/.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 (/ (- (* (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 (/.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 (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#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 (/ 2 (pow x 3)) (taylor 0 x) (#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 (/ 2 (pow x 3)) (taylor 0 x) (#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 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 (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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 (+ 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>) () ())) ()) |
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#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf 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 -inf x) (#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 (/ 2 (pow x 3)) (taylor -inf x) (#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 (/ 2 (pow x 3)) (taylor -inf x) (#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 (/ 2 (pow x 3)) (taylor -inf x) (#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 (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 (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.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 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x 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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x 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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (+ x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (* x x) (* (* (+ x 1) x) (- x 1))) |
| 2.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (+ x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (* x x) (* (* (+ x 1) x) (- x 1))) |
| 2.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (+ x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (* x x) (* (* (+ x 1) x) (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1014 |
| 1 | 266 | 979 |
| 2 | 699 | 957 |
| 3 | 2855 | 922 |
| 4 | 7740 | 922 |
| 0 | 8235 | 899 |
| 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 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)) |
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 |
(+ 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) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -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 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)) |
(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 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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)) |
(* -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)) |
(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 |
(* 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))) |
(/ 2 x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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))) |
| 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 (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))) |
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 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 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
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 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 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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))) |
(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 #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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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) |
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 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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(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 #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))) |
(/ 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))) |
(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 #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))) |
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 #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 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))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) 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 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 167 |
| 0 | 44 | 163 |
| 1 | 214 | 155 |
| 2 | 2122 | 155 |
| 0 | 8461 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 x #s(literal 1 binary64)) x) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#<batchref> |
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Compiled 7 622 to 1 384 computations (81.8% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 4 | 531 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 528 | 11 | 539 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| ✓ | 52.3% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
| 89.0% | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) | |
| 98.7% | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) | |
| 98.7% | (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| ✓ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ✓ | 99.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | 98.3% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 458 to 169 computations (63.1% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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 (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.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)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(+.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 (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 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #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 #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))))) |
#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 (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
2 calls:
| 8.0ms | 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)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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 (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.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)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
2 calls:
| 7.0ms | (+.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)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 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)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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 (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.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 |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (+.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 |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 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)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
2 calls:
| 6.0ms | x |
| 2.0ms | (+.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 |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 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)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.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 |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 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)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 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))) |
| 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 |
| 2.0ms | (+.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 |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 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)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.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 |
|---|---|---|
| 52.3% | 1 | x |
| 52.3% | 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:
| 4.0ms | 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 |
|---|---|---|
| 5.1% | 1 | x |
| 5.1% | 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)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 206 |
| 1 | 59 | 206 |
| 2 | 62 | 206 |
| 3 | 66 | 206 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#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 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#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 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) 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))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 220 |
| 0 | 60 | 214 |
| 1 | 275 | 201 |
| 2 | 2557 | 201 |
| 0 | 8406 | 188 |
| 0 | 118 | 528 |
| 1 | 310 | 507 |
| 2 | 799 | 482 |
| 3 | 2550 | 458 |
| 4 | 7341 | 458 |
| 0 | 8299 | 450 |
| 0 | 10 | 37 |
| 0 | 17 | 37 |
| 1 | 94 | 37 |
| 2 | 1095 | 37 |
| 0 | 8508 | 34 |
| 0 | 89 | 1473 |
| 1 | 234 | 1465 |
| 2 | 630 | 1421 |
| 3 | 1699 | 1369 |
| 4 | 6865 | 1369 |
| 0 | 8389 | 1349 |
| 0 | 33 | 187 |
| 0 | 45 | 173 |
| 1 | 206 | 173 |
| 2 | 1936 | 173 |
| 0 | 8468 | 165 |
| 0 | 34 | 167 |
| 0 | 44 | 163 |
| 1 | 214 | 155 |
| 2 | 2122 | 155 |
| 0 | 8461 | 141 |
| 0 | 155 | 1660 |
| 1 | 437 | 1613 |
| 2 | 1140 | 1537 |
| 3 | 3697 | 1467 |
| 0 | 8490 | 1426 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 355 to 204 computations (42.5% saved)
(negabs x)
Compiled 206 to 116 computations (43.7% saved)
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