
Time bar (total: 7.3s)
| 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 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 3 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 4 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 5 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 6 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 7 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 8 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 9 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 10 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 11 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 29 to 13 computations (55.2% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 530.0ms (58.7% of total)ival-div: 228.0ms (25.3% of total)ival-sub: 104.0ms (11.5% of total)ival->: 22.0ms (2.4% of total)exact: 14.0ms (1.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 190 | 0 | - | 2 | (3.3586625183532938e-80) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 66 | 0 | - | 0 | - | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| 0 | 0 | - | 0 | - | (*.f64 i i) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) i) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/o | 66 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 107 | |
| ↳ | (*.f64 i i) | overflow | 132 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 6 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 66 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | o/o | 66 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 107 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 6 | |
| ↳ | (*.f64 i i) | overflow | 132 | |
| ↳ | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 66 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 6 | |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 66 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 57 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 81 | |
| ↳ | (*.f64 i i) | underflow | 114 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 57 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/n | 41 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 107 | |
| ↳ | (*.f64 i i) | overflow | 132 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/n | 24 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 81 | |
| ↳ | (*.f64 i i) | underflow | 114 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 188 | 2 |
| - | 0 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 188 | 0 | 2 |
| - | 0 | 0 | 66 |
| number | freq |
|---|---|
| 0 | 68 |
| 1 | 122 |
| 2 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 173 to 34 computations (80.3% saved)
ival-mult: 43.0ms (82.9% of total)ival-div: 6.0ms (11.6% of total)ival-sub: 2.0ms (3.9% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 094× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 3 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 55 | 43 |
| 2 | 350 | 26 |
| 3 | 2861 | 26 |
| 4 | 7636 | 26 |
| 0 | 10 | 25 |
| 0 | 17 | 21 |
| 1 | 45 | 19 |
| 2 | 187 | 13 |
| 3 | 1060 | 13 |
| 4 | 3649 | 11 |
| 5 | 5292 | 11 |
| 6 | 7322 | 11 |
| 0 | 8036 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) |
(abs i)
Compiled 25 to 10 computations (60% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.6% | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 25 to 10 computations (60% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 320 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | |
| cost-diff | 7168 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 094× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 3 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 72 |
| 0 | 17 | 62 |
| 1 | 45 | 56 |
| 2 | 187 | 42 |
| 3 | 1060 | 42 |
| 4 | 3649 | 40 |
| 5 | 5292 | 40 |
| 6 | 7322 | 40 |
| 0 | 8036 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(pow.f64 i #s(literal 4 binary64)) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) i) | |
| accuracy | 0.12337875976844201 | (*.f64 (*.f64 i i) (*.f64 i i)) | |
| accuracy | 16.00163094211973 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | |
| accuracy | 42.47889935119738 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 17.0ms | 256× | 0 | valid |
Compiled 74 to 12 computations (83.8% saved)
ival-mult: 6.0ms (54% of total)ival-div: 4.0ms (36% of total)ival-sub: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | -inf | ((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i)) |
| 2.0ms | i | @ | inf | ((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i)) |
| 1.0ms | i | @ | 0 | ((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i)) |
| 1× | egg-herbie |
| 16 840× | lower-fma.f64 |
| 16 840× | lower-fma.f32 |
| 4 092× | lower-*.f64 |
| 4 092× | lower-*.f32 |
| 1 760× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 401 |
| 1 | 96 | 401 |
| 2 | 220 | 400 |
| 3 | 504 | 396 |
| 4 | 1042 | 396 |
| 5 | 2094 | 396 |
| 6 | 4001 | 396 |
| 7 | 6190 | 396 |
| 0 | 8145 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
| Outputs |
|---|
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
| 5 018× | lower-*.f32 |
| 5 010× | lower-*.f64 |
| 4 240× | lower-/.f32 |
| 4 236× | lower-/.f64 |
| 3 978× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 66 |
| 0 | 17 | 50 |
| 1 | 75 | 44 |
| 2 | 653 | 32 |
| 0 | 8740 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 #s(literal 2 binary64) i) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (*.f64 i (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i i))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) |
(*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i))) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) i)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) i))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) i)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i)) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 i (*.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i i))) |
(*.f64 i (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i))) |
(*.f64 i (*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 i (*.f64 #s(literal 1/4 binary64) i)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) i) i) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) i)) (neg.f64 i)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) i) |
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 4 binary64))) i) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 i i)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) i) (*.f64 i i)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 i i)) i) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64))) i) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (*.f64 i i)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i i)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) i) i)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) (*.f64 i i)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 (neg.f64 i) i)) (*.f64 (*.f64 #s(literal -2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) (*.f64 (*.f64 #s(literal -2 binary64) i) i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal -2 binary64) i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) i) |
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 i i)) |
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (/.f64 #s(literal 2 binary64) i))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) i) i) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 i i)) (*.f64 i i)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 (/.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) i) |
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 i i)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i #s(literal -4 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i (pow.f64 i #s(literal -4 binary64)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal -1 binary64))) |
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(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) (/.f64 i #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) (neg.f64 (neg.f64 i)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (neg.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 i (/.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i) |
(*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (*.f64 i i)) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (neg.f64 i)) |
(*.f64 (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 3 binary64)))) |
(*.f64 (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (neg.f64 i))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) i) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 4 binary64))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 i i) (neg.f64 (*.f64 (neg.f64 i) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))))) |
(*.f64 i (pow.f64 i #s(literal 3 binary64))) |
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 i i) #s(literal 2 binary64)) |
(pow.f64 i #s(literal 4 binary64)) |
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i)) |
(*.f64 i #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) (neg.f64 i)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) i) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 20 488 to 1 923 computations (90.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 6 | 856 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 851 | 6 | 857 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.2% | (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
| 74.0% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| ▶ | 54.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ▶ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
| ▶ | 45.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ▶ | 54.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 104 to 76 computations (26.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| cost-diff | 320 | (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
| 10 374× | lower-fma.f32 |
| 10 372× | lower-fma.f64 |
| 4 446× | lower-*.f32 |
| 4 436× | lower-*.f64 |
| 2 724× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 213 |
| 0 | 40 | 193 |
| 1 | 101 | 179 |
| 2 | 315 | 159 |
| 3 | 1345 | 155 |
| 4 | 3824 | 155 |
| 5 | 5936 | 155 |
| 6 | 7478 | 155 |
| 0 | 8326 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 i i) |
i |
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
#s(literal 4 binary64) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
#s(literal 1/16 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) |
(*.f64 i i) |
i |
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
#s(literal 1/16 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) | |
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 0.27040607413237444 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) | |
| accuracy | 29.113327019057 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) | |
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) | |
| accuracy | 0.0625 | (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) | |
| accuracy | 34.43355129067432 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) | |
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| accuracy | 34.688149041609286 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) | |
| accuracy | 28.940854815428263 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 0 | (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) | |
| accuracy | 16.00163094211973 | (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
| 350.0ms | 256× | 0 | valid |
Compiled 192 to 27 computations (85.9% saved)
ival-div: 24.0ms (53.1% of total)ival-mult: 16.0ms (35.4% of total)ival-sub: 2.0ms (4.4% of total)ival-add: 2.0ms (4.4% of total)exact: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -4 (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 i) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ()) |
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ()) |
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ()) |
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ()) |
#s(alt -1/4 (taylor 0 i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | 0 | ((* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i))) |
| 2.0ms | i | @ | inf | ((* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i))) |
| 1.0ms | i | @ | -inf | ((* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i))) |
| 1× | egg-herbie |
| 15 080× | lower-fma.f64 |
| 15 080× | lower-fma.f32 |
| 3 240× | lower-*.f64 |
| 3 240× | lower-*.f32 |
| 1 396× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1310 |
| 1 | 169 | 1310 |
| 2 | 491 | 1278 |
| 3 | 1500 | 1258 |
| 4 | 4659 | 1258 |
| 0 | 8503 | 1222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-4 |
(- (* 16 (pow i 2)) 4) |
(- (* 16 (pow i 2)) 4) |
(- (* 16 (pow i 2)) 4) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1/4 i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
-1/4 |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(/ 1/64 (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(* 16 (pow i 2)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(* 16 (pow i 2)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
| Outputs |
|---|
-4 |
#s(literal -4 binary64) |
(- (* 16 (pow i 2)) 4) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(- (* 16 (pow i 2)) 4) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(- (* 16 (pow i 2)) 4) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1 (pow i 3)) |
(neg.f64 (pow.f64 i #s(literal 3 binary64))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))) |
(* -1 (pow i 3)) |
(neg.f64 (pow.f64 i #s(literal 3 binary64))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| 7 980× | lower-fma.f32 |
| 7 978× | lower-fma.f64 |
| 5 428× | lower-*.f32 |
| 5 418× | lower-*.f64 |
| 3 824× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 193 |
| 0 | 40 | 165 |
| 1 | 187 | 151 |
| 2 | 1402 | 125 |
| 0 | 9139 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 i i) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)))))) |
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -4 binary64)) |
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) |
(*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i)))) |
(/.f64 (+.f64 #s(literal -64 binary64) (*.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))) (*.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (fma.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (neg.f64 (+.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))) |
(/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) |
(/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (+.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i))))) |
(/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) #s(literal 1/16 binary64)) |
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64)) |
(fma.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 1/16 binary64)) |
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)) #s(literal 1/16 binary64)) |
(fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) |
(fma.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))) |
(fma.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1/16 binary64)) |
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1/16 binary64)) |
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)))) |
(-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (neg.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i)) |
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) |
(*.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i)) |
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i))) |
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i) |
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64))) |
Compiled 15 332 to 2 398 computations (84.4% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 982 | 2 | 984 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 983 | 7 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.2% | (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
| ▶ | 74.0% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
| ▶ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 54.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ✓ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
| ✓ | 45.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 54.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 64 to 45 computations (29.7% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) (*.f64 i i)) | |
| cost-diff | 1088 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (neg.f64 i) | |
| cost-diff | 0 | (*.f64 (neg.f64 i) i) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) | |
| cost-diff | 640 | (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| 10 226× | lower-fma.f32 |
| 10 220× | lower-fma.f64 |
| 4 272× | lower-*.f32 |
| 4 264× | lower-*.f64 |
| 3 484× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 41 | 127 |
| 1 | 106 | 121 |
| 2 | 378 | 112 |
| 3 | 1613 | 112 |
| 4 | 4065 | 106 |
| 5 | 7057 | 106 |
| 0 | 8063 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (neg.f64 i) i) |
(neg.f64 i) |
i |
(*.f64 i i) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
#s(literal -4 binary64) |
(*.f64 i i) |
i |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(*.f64 i i) |
i |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
#s(literal 16 binary64) |
#s(literal -4 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i)) |
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i) |
(*.f64 (neg.f64 i) i) |
(neg.f64 i) |
i |
(*.f64 i i) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
#s(literal -4 binary64) |
(*.f64 i i) |
i |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i) |
(*.f64 i i) |
i |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64)) |
#s(literal 16 binary64) |
#s(literal -4 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) | |
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 16.00163094211973 | (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) | |
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 0.10129194272485503 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| accuracy | 0.3556907758843378 | (/.f64 #s(literal -4 binary64) (*.f64 i i)) | |
| accuracy | 16.441053258100972 | (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| accuracy | 0 | (neg.f64 i) | |
| accuracy | 0.060878759768442016 | (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) | |
| accuracy | 34.43355129067432 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| 61.0ms | 256× | 0 | valid |
Compiled 128 to 30 computations (76.6% saved)
ival-mult: 31.0ms (69% of total)ival-div: 7.0ms (15.6% of total)ival-add: 3.0ms (6.7% of total)ival-sub: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ()) |
#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal -4 binary64) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ()) |
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal -4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ -4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal -4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ -4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal -4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ -4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal -4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -4 (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow i 4)) (taylor inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ()) |
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#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 16 (pow i 2)) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt -16 (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | i | @ | inf | ((+ (* (* (neg i) i) (* i i)) (* -1/4 (* i i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg i) i) (neg i) (/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (/ -4 (* i i)) (* i i) (+ (* 4 (* i i)) -1) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4) (* -1/4 (* i i)) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) |
| 3.0ms | i | @ | 0 | ((+ (* (* (neg i) i) (* i i)) (* -1/4 (* i i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg i) i) (neg i) (/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (/ -4 (* i i)) (* i i) (+ (* 4 (* i i)) -1) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4) (* -1/4 (* i i)) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) |
| 2.0ms | i | @ | -inf | ((+ (* (* (neg i) i) (* i i)) (* -1/4 (* i i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg i) i) (neg i) (/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (/ -4 (* i i)) (* i i) (+ (* 4 (* i i)) -1) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4) (* -1/4 (* i i)) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) |
| 1× | egg-herbie |
| 18 430× | lower-fma.f64 |
| 18 430× | lower-fma.f32 |
| 3 168× | lower-*.f64 |
| 3 168× | lower-*.f32 |
| 2 356× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 966 |
| 1 | 139 | 966 |
| 2 | 337 | 954 |
| 3 | 822 | 942 |
| 4 | 1971 | 942 |
| 5 | 3653 | 942 |
| 6 | 5885 | 942 |
| 0 | 8529 | 912 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
-4 |
(- (* 16 (pow i 2)) 4) |
(- (* 16 (pow i 2)) 4) |
(- (* 16 (pow i 2)) 4) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 16 (pow i 2)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
-16 |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(/ -4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 16 (pow i 2)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
-16 |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64))))) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64))))) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64))))) (*.f64 i i)) |
-4 |
#s(literal -4 binary64) |
(- (* 16 (pow i 2)) 4) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(- (* 16 (pow i 2)) 4) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(- (* 16 (pow i 2)) 4) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(* -1 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* 16 (pow i 2)) |
(*.f64 #s(literal 16 binary64) (*.f64 i i)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
-16 |
#s(literal -16 binary64) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(* -1 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* 16 (pow i 2)) |
(*.f64 #s(literal 16 binary64) (*.f64 i i)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
-16 |
#s(literal -16 binary64) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
| 6 846× | lower-fma.f32 |
| 6 840× | lower-fma.f64 |
| 4 054× | lower-*.f32 |
| 4 046× | lower-*.f64 |
| 3 786× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 119 |
| 0 | 41 | 106 |
| 1 | 201 | 102 |
| 2 | 1710 | 85 |
| 0 | 8623 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 i) i) |
(neg.f64 i) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(*.f64 i i) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64))))))) |
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) |
(*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))) |
(*.f64 i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) i))) |
(*.f64 i (fma.f64 #s(literal -1/4 binary64) i (pow.f64 (neg.f64 i) #s(literal 3 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) (+.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) i) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (neg.f64 i) i)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) i) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) i) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal -4 binary64) i)) (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) i) (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (*.f64 #s(literal 4 binary64) i)) i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 i i) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal 2 binary64) i) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 4 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (pow.f64 i #s(literal -2 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) i) (pow.f64 i #s(literal 3 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) (pow.f64 i #s(literal -2 binary64))) (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) i) i) (/.f64 i (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 #s(literal 2 binary64) i) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) i) i) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) i) i) (/.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) i) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) i (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 (pow.f64 i #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (pow.f64 i #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal -2 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (*.f64 #s(literal 4 binary64) (*.f64 i i)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 #s(literal -4 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal -4 binary64) (*.f64 i i)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(fma.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 i (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i))) (/.f64 (pow.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(-.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i))) |
(+.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))) |
Compiled 20 794 to 2 897 computations (86.1% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 112 | 1 | 1 113 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 1 113 | 7 | 1 120 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 74.2% | (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
| ▶ | 99.9% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
| ✓ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 54.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ✓ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
| ✓ | 45.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 54.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 60 to 45 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) (*.f64 i i)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
| 4 498× | lower-fma.f64 |
| 4 498× | lower-fma.f32 |
| 3 056× | lower-*.f32 |
| 3 054× | lower-*.f64 |
| 1 476× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 63 |
| 0 | 19 | 63 |
| 1 | 39 | 63 |
| 2 | 92 | 59 |
| 3 | 184 | 59 |
| 4 | 336 | 51 |
| 5 | 685 | 51 |
| 6 | 1539 | 51 |
| 7 | 3482 | 51 |
| 8 | 5879 | 51 |
| 9 | 7001 | 51 |
| 0 | 8042 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
#s(literal -1 binary64) |
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
#s(literal 4 binary64) |
(*.f64 i i) |
i |
#s(literal 16 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))) |
#s(literal -1 binary64) |
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
#s(literal 4 binary64) |
(*.f64 i i) |
i |
#s(literal 16 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 i i) | |
| accuracy | 0 | #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) | |
| accuracy | 0.10129194272485503 | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) | |
| accuracy | 0.3556907758843378 | (/.f64 #s(literal 4 binary64) (*.f64 i i)) |
| 25.0ms | 256× | 0 | valid |
Compiled 49 to 15 computations (69.4% saved)
ival-div: 6.0ms (40.3% of total)ival-mult: 5.0ms (33.6% of total)ival-sub: 1.0ms (6.7% of total)ival-add: 1.0ms (6.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -16 (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -16 (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -16 (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -16 (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | ((/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (- (/ 4 (* i i)) 16) (/ 4 (* i i)) (* i i)) |
| 1.0ms | i | @ | inf | ((/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (- (/ 4 (* i i)) 16) (/ 4 (* i i)) (* i i)) |
| 1.0ms | i | @ | -inf | ((/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (- (/ 4 (* i i)) 16) (/ 4 (* i i)) (* i i)) |
| 1× | egg-herbie |
| 14 340× | lower-fma.f64 |
| 14 340× | lower-fma.f32 |
| 3 772× | lower-*.f64 |
| 3 772× | lower-*.f32 |
| 1 744× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 395 |
| 1 | 94 | 395 |
| 2 | 202 | 394 |
| 3 | 447 | 390 |
| 4 | 900 | 390 |
| 5 | 1655 | 390 |
| 6 | 2788 | 390 |
| 7 | 4754 | 390 |
| 8 | 5852 | 390 |
| 9 | 7577 | 390 |
| 0 | 8149 | 381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(/ 4 (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ 4 (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
-16 |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
-16 |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
-16 |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
-16 |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ (+ 4 (* -16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) |
-16 |
#s(literal -16 binary64) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
-16 |
#s(literal -16 binary64) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) |
-16 |
#s(literal -16 binary64) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
-16 |
#s(literal -16 binary64) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(- (* 4 (/ 1 (pow i 2))) 16) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
| 6 178× | lower-fma.f64 |
| 6 178× | lower-fma.f32 |
| 4 164× | lower-*.f32 |
| 4 162× | lower-*.f64 |
| 3 004× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 59 |
| 0 | 19 | 59 |
| 1 | 88 | 59 |
| 2 | 670 | 55 |
| 3 | 7520 | 55 |
| 0 | 8068 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(*.f64 i i) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) |
(neg.f64 (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) |
(*.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) |
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) |
(/.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) |
(neg.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64)) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal 4096 binary64))) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -4096 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (*.f64 i i)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -4096 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -4096 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -4096 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 4 binary64)) #s(literal 65536 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal 256 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal -16777216 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 4 binary64)) #s(literal 65536 binary64)) (/.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal -16777216 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal 4096 binary64))) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) |
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(fma.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)) |
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal -4 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal -16 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -16 binary64)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal -16 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64) #s(literal -16 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -16 binary64)) |
(fma.f64 #s(literal -4 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -16 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))) |
(-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))))) |
(+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i)) |
(*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -4 binary64)) |
(*.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -1 binary64) i)) |
(*.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -4 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64)) (neg.f64 i)) |
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (neg.f64 i)) |
(/.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 i #s(literal -1/4 binary64))) |
(/.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -1/4 binary64)) |
(/.f64 (/.f64 #s(literal 4 binary64) i) (neg.f64 (neg.f64 i))) |
(/.f64 (/.f64 #s(literal 4 binary64) i) i) |
(/.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 i)) |
(/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 i)) i) |
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i))) |
(*.f64 (neg.f64 i) (neg.f64 i)) |
(*.f64 #s(literal 1 binary64) (*.f64 i i)) |
(*.f64 (*.f64 i i) #s(literal 1 binary64)) |
(*.f64 i (/.f64 i #s(literal 1 binary64))) |
(*.f64 i (neg.f64 (neg.f64 i))) |
(*.f64 i i) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) i)) |
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 i i) #s(literal 1 binary64)) |
(pow.f64 i #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 i) i) #s(literal -1 binary64)) |
(/.f64 (*.f64 i i) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 i) i)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) i)) |
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) |
Compiled 3 797 to 748 computations (80.3% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 0 | 219 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 219 | 7 | 226 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 74.2% | (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
| ✓ | 99.9% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
| ✓ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 54.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ✓ | 46.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
| ✓ | 45.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 54.8% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 171 to 88 computations (48.5% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
2 calls:
| 68.0ms | i |
| 3.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | i |
| 99.9% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 26 to 11 computations (57.7% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| Outputs |
|---|
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
2 calls:
| 3.0ms | i |
| 2.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | i |
| 78.4% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 26 to 11 computations (57.7% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | i |
Compiled 1 to 1 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
2 calls:
| 1.0ms | i |
| 1.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 54.8% | 1 | i |
Compiled 26 to 11 computations (57.7% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1279070.1208551913 | 172519958.59415698 |
| 6.0ms | 32× | 0 | valid |
Compiled 52 to 36 computations (30.8% saved)
ival-div: 5.0ms (88.9% of total)ival-mult: 1.0ms (17.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.024682909051977505 | 140.0349722746052 |
| 8.0ms | 128× | 0 | valid |
Compiled 172 to 142 computations (17.4% saved)
ival-mult: 3.0ms (57.5% of total)ival-sub: 1.0ms (19.2% of total)ival-div: 1.0ms (19.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.024682909051977505 | 140.0349722746052 |
Compiled 124 to 110 computations (11.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.024682909051977505 | 140.0349722746052 |
Compiled 92 to 94 computations (-2.2% saved)
| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 291 |
| 1 | 60 | 291 |
| 2 | 69 | 291 |
| 3 | 75 | 291 |
| 4 | 78 | 291 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) |
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
| 18 430× | lower-fma.f64 |
| 18 430× | lower-fma.f32 |
| 16 840× | lower-fma.f64 |
| 16 840× | lower-fma.f32 |
| 7 980× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 193 |
| 0 | 40 | 165 |
| 1 | 187 | 151 |
| 2 | 1402 | 125 |
| 0 | 9139 | 122 |
| 0 | 50 | 401 |
| 1 | 96 | 401 |
| 2 | 220 | 400 |
| 3 | 504 | 396 |
| 4 | 1042 | 396 |
| 5 | 2094 | 396 |
| 6 | 4001 | 396 |
| 7 | 6190 | 396 |
| 0 | 8145 | 384 |
| 0 | 65 | 966 |
| 1 | 139 | 966 |
| 2 | 337 | 954 |
| 3 | 822 | 942 |
| 4 | 1971 | 942 |
| 5 | 3653 | 942 |
| 6 | 5885 | 942 |
| 0 | 8529 | 912 |
| 0 | 10 | 66 |
| 0 | 17 | 50 |
| 1 | 75 | 44 |
| 2 | 653 | 32 |
| 0 | 8740 | 30 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 193 to 102 computations (47.2% saved)
(abs i)
Compiled 238 to 108 computations (54.6% saved)
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