
Time bar (total: 9.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.8% | 6.3% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 50% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 20 to 13 computations (35% saved)
| 1.4s | 7 263× | 1 | valid |
| 134.0ms | 552× | 2 | valid |
| 31.0ms | 441× | 0 | valid |
ival-div: 432.0ms (35.3% of total)adjust: 330.0ms (27% of total)ival-add: 215.0ms (17.6% of total)ival-sub: 146.0ms (11.9% of total)ival-fabs: 64.0ms (5.2% of total)ival->: 23.0ms (1.9% of total)exact: 8.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 384× | lower-fma.f64 |
| 384× | lower-fma.f32 |
| 160× | lower-*.f64 |
| 160× | lower-*.f32 |
| 144× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 32 | 32 |
| 2 | 87 | 30 |
| 3 | 223 | 30 |
| 4 | 437 | 30 |
| 5 | 544 | 30 |
| 6 | 577 | 30 |
| 7 | 582 | 30 |
| 0 | 10 | 15 |
| 0 | 17 | 15 |
| 1 | 28 | 15 |
| 2 | 46 | 15 |
| 3 | 74 | 15 |
| 4 | 134 | 15 |
| 5 | 248 | 15 |
| 6 | 389 | 15 |
| 7 | 499 | 15 |
| 8 | 546 | 15 |
| 0 | 546 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 86 | 0 | - | 0 | - | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 86 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 86 | 0 |
| - | 0 | 170 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 86 | 0 | 0 |
| - | 0 | 0 | 170 |
| number | freq |
|---|---|
| 0 | 170 |
| 1 | 86 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 97.0ms | 474× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 128 to 44 computations (65.6% saved)
ival-add: 28.0ms (35.2% of total)ival-div: 22.0ms (27.7% of total)adjust: 16.0ms (20.1% of total)ival-sub: 13.0ms (16.4% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.5% | (+.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 10 computations (37.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 384× | lower-fma.f64 |
| 384× | lower-fma.f32 |
| 160× | lower-*.f64 |
| 160× | lower-*.f32 |
| 144× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 0 | 17 | 46 |
| 1 | 28 | 46 |
| 2 | 46 | 46 |
| 3 | 74 | 46 |
| 4 | 134 | 46 |
| 5 | 248 | 46 |
| 6 | 389 | 46 |
| 7 | 499 | 46 |
| 8 | 546 | 46 |
| 0 | 546 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #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 | 100.0% | (-.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 69.5% | (+.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)))) |
| 42.0ms | 237× | 1 | valid |
| 3.0ms | 12× | 2 | valid |
| 0.0ms | 7× | 0 | valid |
Compiled 48 to 12 computations (75% saved)
ival-div: 16.0ms (50% of total)adjust: 7.0ms (21.9% of total)ival-add: 5.0ms (15.6% of total)ival-sub: 4.0ms (12.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (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 (/ 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 (/ -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 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 (/.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 (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 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 (/ 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 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 x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -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 x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 0.0ms | x | @ | 0 | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 0.0ms | x | @ | -inf | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 0.0ms | x | @ | inf | (/ 1 (+ x 1)) |
| 0.0ms | x | @ | 0 | (- (/ 1 (+ x 1)) (/ 2 x)) |
| 1× | egg-herbie |
| 8 678× | lower-fma.f64 |
| 8 678× | lower-fma.f32 |
| 2 816× | lower--.f64 |
| 2 816× | lower--.f32 |
| 2 690× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 449 |
| 1 | 268 | 428 |
| 2 | 699 | 407 |
| 3 | 2208 | 394 |
| 4 | 6905 | 394 |
| 0 | 8101 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (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)) |
(* -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) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 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) |
(/ 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)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- x 2) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) 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)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
-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)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
| 1× | batch-egg-rewrite |
| 6 034× | lower-fma.f64 |
| 6 034× | lower-fma.f32 |
| 5 166× | lower-*.f64 |
| 5 166× | lower-*.f32 |
| 4 962× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 17 | 35 |
| 1 | 94 | 35 |
| 2 | 1095 | 35 |
| 0 | 8508 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) x)) |
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(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
Compiled 16 853 to 1 682 computations (90% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 5 | 497 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 493 | 5 | 498 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.3% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| ▶ | 98.8% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ▶ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ▶ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
| ▶ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
Compiled 158 to 78 computations (50.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 192 | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 384 | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 1344 | (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.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 #s(literal -2 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| 13 836× | lower-fma.f64 |
| 13 836× | lower-fma.f32 |
| 2 404× | lower-*.f32 |
| 2 392× | lower-*.f64 |
| 1 948× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 323 |
| 0 | 57 | 287 |
| 1 | 109 | 287 |
| 2 | 273 | 287 |
| 3 | 745 | 278 |
| 4 | 1936 | 255 |
| 5 | 6241 | 255 |
| 0 | 8244 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(literal 2 binary64) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
#s(literal -2 binary64) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x x)) |
#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 |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
#s(literal 2 binary64) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(literal 2 binary64) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
#s(literal -2 binary64) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x x)) |
#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 |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 2 binary64) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x x x) |
x |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(-.f64 #s(literal -2 binary64) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 98.8% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 5.4% | (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 98.8% | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.1% | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 98.8% | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| 117.0ms | 243× | 1 | valid |
| 13.0ms | 12× | 2 | valid |
| 4.0ms | 1× | 0 | valid |
Compiled 281 to 35 computations (87.5% saved)
ival-div: 26.0ms (28% of total)ival-mult: 20.0ms (21.5% of total)ival-add: 18.0ms (19.4% of total)adjust: 18.0ms (19.4% of total)ival-sub: 10.0ms (10.8% 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 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (patch (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) #<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 #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 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 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (patch (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (*.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 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) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 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) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 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) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<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 #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.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 #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.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 #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<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 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | inf | (/ (+ -2 (/ -2 (* x x))) (* x x)) |
| 2.0ms | x | @ | -inf | (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) |
| 1.0ms | x | @ | inf | (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) |
| 1.0ms | x | @ | 0 | (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) |
| 1.0ms | x | @ | 0 | (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) (* x (* x x))) |
| 1× | egg-herbie |
| 10 418× | lower-fma.f64 |
| 10 418× | lower-fma.f32 |
| 4 468× | lower-*.f64 |
| 4 468× | lower-*.f32 |
| 1 658× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1792 |
| 1 | 195 | 1783 |
| 2 | 561 | 1717 |
| 3 | 1918 | 1661 |
| 4 | 4869 | 1661 |
| 0 | 8114 | 1564 |
| 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 (* 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)) |
(* -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 7)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 7)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/ 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 (pow x 4)))) (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 2))) 2) (pow x 3))) |
(/ 2 (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(/ -2 (pow x 4)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 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)) |
(* -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 x) |
(/ -2 x) |
(/ -2 x) |
(/ -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 (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)) |
(* -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)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 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) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 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)) |
(* -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 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
-2 |
(- (* -1 x) 2) |
(- (* -1 x) 2) |
(- (* -1 x) 2) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(pow x 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))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 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) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 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 (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)) |
(* -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))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.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 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 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 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
-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) |
(* -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) |
(* -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) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (fma.f64 x x #s(literal -1 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) |
(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) |
(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 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 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) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 5 320× | lower-/.f32 |
| 5 306× | lower-/.f64 |
| 4 114× | lower-fma.f32 |
| 4 112× | lower-fma.f64 |
| 3 478× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 259 |
| 0 | 57 | 231 |
| 1 | 292 | 229 |
| 2 | 2906 | 229 |
| 0 | 9545 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 4 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 4 binary64))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 4 binary64))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (/.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 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (+.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (-.f64 (*.f64 x x) x))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) x))))) |
(pow.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 (fma.f64 x x x) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x))))) |
Compiled 34 448 to 2 450 computations (92.9% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 173 | 7 | 1 180 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 175 | 10 | 1 185 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| ▶ | 99.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
| 99.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 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))) |
| ✓ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| 98.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 35.8% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
Compiled 203 to 110 computations (45.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | cost-diff | 128 | (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 192 | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.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 | 384 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x 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 | 384 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) |
| 13 244× | lower-fma.f32 |
| 13 242× | lower-fma.f64 |
| 2 660× | lower-*.f32 |
| 2 648× | lower-*.f64 |
| 1 882× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 357 |
| 0 | 71 | 329 |
| 1 | 130 | 315 |
| 2 | 284 | 307 |
| 3 | 731 | 301 |
| 4 | 2026 | 267 |
| 5 | 6497 | 267 |
| 0 | 8268 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 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 |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 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))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 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)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x x x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 x (+.f64 x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 36.7% | (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
| ✓ | accuracy | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 358.0ms | 243× | 1 | valid |
| 8.0ms | 12× | 2 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 279 to 41 computations (85.3% saved)
ival-div: 122.0ms (65.9% of total)ival-mult: 22.0ms (11.9% of total)adjust: 18.0ms (9.7% of total)ival-add: 14.0ms (7.6% of total)ival-sub: 7.0ms (3.8% 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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) 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) 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 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.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 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (*.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.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 #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ (* 2 (* x x)) 2) (* x (* x (* x (* x x))))) |
| 0.0ms | x | @ | 0 | (* x (* x (* x x))) |
| 0.0ms | x | @ | inf | (/ (+ (* 2 (* x x)) 2) (* x (* x (* x (* x x))))) |
| 0.0ms | x | @ | inf | (/ (/ (/ (+ 2 (/ 2 (* x x))) x) x) x) |
| 0.0ms | x | @ | inf | (* x (* x (* x x))) |
| 1× | egg-herbie |
| 10 722× | lower-fma.f64 |
| 10 722× | lower-fma.f32 |
| 4 364× | lower-*.f64 |
| 4 364× | lower-*.f32 |
| 1 814× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1909 |
| 1 | 164 | 1900 |
| 2 | 468 | 1851 |
| 3 | 1722 | 1783 |
| 4 | 5285 | 1783 |
| 0 | 8430 | 1700 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 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)) |
(* -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 (pow x 2))) (pow x 3)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 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)) |
(* -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 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 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)) |
(* -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 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(pow x 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))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 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) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 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 (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)) |
(* -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 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* 2 (pow x 2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 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)) |
(* -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 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(/ 2 (pow x 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 4)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 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 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #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 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #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 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.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 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 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 2) |
(*.f64 x 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 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #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 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.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 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 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 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (fma.f64 x x #s(literal -1 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) |
(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) |
(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 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 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #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 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x 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 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #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 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 2 (pow x 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 5 032× | lower-/.f32 |
| 5 014× | lower-/.f64 |
| 4 446× | lower-fma.f32 |
| 4 444× | lower-fma.f64 |
| 3 514× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 309 |
| 0 | 71 | 283 |
| 1 | 328 | 261 |
| 2 | 3037 | 261 |
| 0 | 9401 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) 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) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x 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 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (neg.f64 (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) (*.f64 x (*.f64 x x))) x) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) (*.f64 x x))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) (*.f64 x (*.f64 x x)))) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 17 834 to 1 772 computations (90.1% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 975 | 5 | 980 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 979 | 11 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
| ▶ | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
| ▶ | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x 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))) |
| ✓ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| 98.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 35.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
Compiled 185 to 102 computations (44.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (*.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 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| ✓ | cost-diff | 0 | (fma.f64 x x x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 192 | (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x x x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) |
| ✓ | cost-diff | 576 | (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
| 13 150× | lower-fma.f32 |
| 13 146× | lower-fma.f64 |
| 2 412× | lower-*.f32 |
| 2 398× | lower-*.f64 |
| 1 924× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 415 |
| 0 | 70 | 453 |
| 1 | 146 | 433 |
| 2 | 320 | 420 |
| 3 | 816 | 384 |
| 4 | 2227 | 240 |
| 5 | 6366 | 240 |
| 0 | 8217 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 x x x) |
x |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x x) |
x |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 x (+.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 x (+.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 x (+.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(approx (+ (* 2 (* x x)) 2) (*.f64 x (+.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x (+.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.6% | #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 36.7% | (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | accuracy | 99.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) |
| 138.0ms | 243× | 1 | valid |
| 8.0ms | 12× | 2 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 330 to 42 computations (87.3% saved)
ival-div: 36.0ms (31.6% of total)ival-mult: 27.0ms (23.7% of total)adjust: 21.0ms (18.4% of total)ival-add: 17.0ms (14.9% of total)ival-sub: 12.0ms (10.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) 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 #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x 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 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x 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 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x 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 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.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 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.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 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x 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 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x 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 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x 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 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* x (- (* 2 x) 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 2 (* 2 (/ 1 x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (+ (* x x) x)) (+ x -1)) |
| 0.0ms | x | @ | -inf | (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (+ (* x x) x)) |
| 0.0ms | x | @ | -inf | (* x (+ (* x x) -1)) |
| 0.0ms | x | @ | -inf | (* (+ (* x x) x) (+ x -1)) |
| 0.0ms | x | @ | -inf | (/ (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (+ (* x x) x)) (+ x -1)) |
| 1× | egg-herbie |
| 14 124× | lower-fma.f64 |
| 14 124× | lower-fma.f32 |
| 3 552× | lower-*.f64 |
| 3 552× | lower-*.f32 |
| 2 078× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1834 |
| 1 | 276 | 1812 |
| 2 | 745 | 1745 |
| 3 | 2469 | 1684 |
| 4 | 7734 | 1684 |
| 0 | 8212 | 1631 |
| 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 (* 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)) |
(* -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 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 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) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 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 (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)) |
(* -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) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(pow x 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))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(/ -2 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 (* 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)) |
(* -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)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 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)) |
(* -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 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 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)) |
(* -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 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* 2 (pow x 2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
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(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -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 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -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 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 4 902× | lower-/.f32 |
| 4 888× | lower-/.f64 |
| 2 838× | lower-*.f32 |
| 2 824× | lower-*.f64 |
| 2 562× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 341 |
| 0 | 70 | 312 |
| 1 | 352 | 288 |
| 2 | 3281 | 288 |
| 0 | 8345 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) |
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) |
(fma.f64 x x x) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 x #s(literal -1 binary64)) |
#s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x x)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x x))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
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(-.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 21 232 to 1 902 computations (91% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 213 | 1 | 1 214 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 215 | 10 | 1 225 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) | |
| ✓ | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | 98.8% | (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x 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))) |
| 98.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 98.4% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | 5.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 35.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
Compiled 335 to 117 computations (65.1% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* 2 (* x x)) 2) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (+.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 18 to 11 computations (38.9% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
2 calls:
| 3.0ms | 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 |
|---|---|---|
| 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 18 to 11 computations (38.9% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
2 calls:
| 3.0ms | 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 |
|---|---|---|
| 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 18 to 11 computations (38.9% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #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))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
2 calls:
| 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)))) |
| 2.0ms | 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 18 to 11 computations (38.9% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
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 |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 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 18 to 11 computations (38.9% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 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 18 to 11 computations (38.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.1% | 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 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 174 |
| 1 | 48 | 174 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
#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 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
#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 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| 10 418× | lower-fma.f64 |
| 10 418× | lower-fma.f32 |
| 8 678× | lower-fma.f64 |
| 8 678× | lower-fma.f32 |
| 6 034× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 341 |
| 0 | 70 | 312 |
| 1 | 352 | 288 |
| 2 | 3281 | 288 |
| 0 | 8345 | 270 |
| 0 | 85 | 1792 |
| 1 | 195 | 1783 |
| 2 | 561 | 1717 |
| 3 | 1918 | 1661 |
| 4 | 4869 | 1661 |
| 0 | 8114 | 1564 |
| 0 | 10 | 35 |
| 0 | 17 | 35 |
| 1 | 94 | 35 |
| 2 | 1095 | 35 |
| 0 | 8508 | 32 |
| 0 | 36 | 259 |
| 0 | 57 | 231 |
| 1 | 292 | 229 |
| 2 | 2906 | 229 |
| 0 | 9545 | 208 |
| 0 | 102 | 449 |
| 1 | 268 | 428 |
| 2 | 699 | 407 |
| 3 | 2208 | 394 |
| 4 | 6905 | 394 |
| 0 | 8101 | 388 |
| 0 | 50 | 309 |
| 0 | 71 | 283 |
| 1 | 328 | 261 |
| 2 | 3037 | 261 |
| 0 | 9401 | 242 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 248 to 142 computations (42.7% saved)
(negabs x)
Compiled 192 to 88 computations (54.2% saved)
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