
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 31 to 19 computations (38.7% saved)
| 929.0ms | 8 256× | 0 | valid |
ival-mult: 296.0ms (41.4% of total)ival-add: 178.0ms (24.9% of total)ival-sub: 141.0ms (19.7% of total)ival-pow2: 79.0ms (11.1% of total)exact: 11.0ms (1.5% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 46 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 40 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 16 | 0 | - | 3 | (5.059337022280992e+109 6.288622524612409e-157) | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) | nan-rescue | 46 | 0 |
| ↳ | (*.f64 b b) | overflow | 62 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 147 | |
| ↳ | (*.f64 a a) | overflow | 61 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 103 | |
| ↳ | (*.f64 b b) | overflow | 62 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) | overflow | 117 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 117 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 76 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 81 | |
| ↳ | (*.f64 a a) | overflow | 61 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 40 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 81 | |
| ↳ | (*.f64 a a) | overflow | 61 | |
| ↳ | (*.f64 b b) | overflow | 62 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 76 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 0 |
| - | 0 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 0 |
| - | 0 | 0 | 193 |
| number | freq |
|---|---|
| 0 | 193 |
| 1 | 40 |
| 2 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 512× | 0 | valid |
Compiled 307 to 58 computations (81.1% saved)
ival-mult: 14.0ms (39.6% of total)ival-add: 9.0ms (25.4% of total)ival-pow2: 6.0ms (17% of total)ival-sub: 5.0ms (14.1% of total)exact: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26 512× | lower-fma.f64 |
| 26 512× | lower-fma.f32 |
| 4 188× | lower-+.f32 |
| 4 180× | lower-+.f64 |
| 3 330× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 149 |
| 1 | 154 | 147 |
| 2 | 653 | 145 |
| 3 | 2940 | 145 |
| 4 | 6883 | 145 |
| 0 | 18 | 29 |
| 0 | 30 | 29 |
| 1 | 63 | 29 |
| 2 | 178 | 29 |
| 3 | 552 | 29 |
| 4 | 1558 | 29 |
| 5 | 2836 | 29 |
| 6 | 6703 | 29 |
| 0 | 8091 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(abs b)
Compiled 31 to 18 computations (41.9% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.3% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 31 to 18 computations (41.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) | |
| cost-diff | 320 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) | |
| cost-diff | 5440 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 26 512× | lower-fma.f64 |
| 26 512× | lower-fma.f32 |
| 4 188× | lower-+.f32 |
| 4 180× | lower-+.f64 |
| 3 330× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 136 |
| 0 | 30 | 136 |
| 1 | 63 | 136 |
| 2 | 178 | 136 |
| 3 | 552 | 136 |
| 4 | 1558 | 136 |
| 5 | 2836 | 136 |
| 6 | 6703 | 136 |
| 0 | 8091 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+.f64 #s(literal 3 binary64) a) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13119125976844204 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 3.132125865487691 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 9.136671274094738 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| accuracy | 9.175781250000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 63.0ms | 256× | 0 | valid |
Compiled 138 to 20 computations (85.5% saved)
ival-sub: 39.0ms (72.7% of total)ival-mult: 7.0ms (13.1% of total)ival-add: 4.0ms (7.5% of total)ival-pow2: 2.0ms (3.7% 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 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 3)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- 1 a)) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) |
| 0.0ms | b | @ | 0 | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | a | @ | inf | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | a | @ | 0 | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | b | @ | inf | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) |
| 1× | egg-herbie |
| 19 992× | lower-fma.f64 |
| 19 992× | lower-fma.f32 |
| 4 374× | lower-+.f64 |
| 4 374× | lower-+.f32 |
| 3 756× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2222 |
| 1 | 599 | 2169 |
| 2 | 1845 | 2105 |
| 3 | 5761 | 2012 |
| 0 | 8475 | 1830 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* -1 (pow a 3)) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (pow b 2)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
| Outputs |
|---|
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* 3 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 3 binary64)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* -1 (pow a 3)) |
(*.f64 a (*.f64 a (neg.f64 a))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* -1 (pow a 3)) |
(*.f64 a (*.f64 a (neg.f64 a))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a)))) |
(* (pow a 2) (- 1 a)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* 3 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 3 binary64)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* a (pow b 2)) |
(*.f64 b (*.f64 b a)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* a (pow b 2)) |
(*.f64 b (*.f64 b a)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
| 5 458× | lower-fma.f64 |
| 5 458× | lower-fma.f32 |
| 4 122× | lower-/.f64 |
| 4 122× | lower-/.f32 |
| 3 974× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 0 | 30 | 94 |
| 1 | 140 | 94 |
| 2 | 1251 | 94 |
| 0 | 8299 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
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(*.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64))) (fma.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) (-.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) |
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a))) |
Compiled 60 121 to 2 604 computations (95.7% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 11 | 690 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 680 | 11 | 691 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.6% | (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
| 34.2% | (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))) | |
| ▶ | 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
| 75.3% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) | |
| 44.9% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) | |
| 70.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) | |
| ▶ | 71.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| ▶ | 70.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 44.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) | |
| 44.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) | |
| ▶ | 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
Compiled 654 to 276 computations (57.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) | |
| cost-diff | 128 | (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 128 | (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) | |
| cost-diff | 192 | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (*.f64 a (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | (*.f64 a (-.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 0 | (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) | |
| cost-diff | 128 | (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
| 23 232× | lower-fma.f32 |
| 23 212× | lower-fma.f64 |
| 4 426× | lower-+.f32 |
| 4 424× | lower-+.f64 |
| 3 034× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 443 |
| 0 | 74 | 403 |
| 1 | 181 | 399 |
| 2 | 470 | 396 |
| 3 | 1187 | 396 |
| 4 | 4158 | 396 |
| 5 | 6555 | 396 |
| 0 | 8026 | 392 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
a |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
b |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 a) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
#s(literal 4 binary64) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
a |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
b |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b (fma.f64 (+.f64 a #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(fma.f64 a (fma.f64 a (neg.f64 a) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
a |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(fma.f64 a (neg.f64 a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
b |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 a) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b (fma.f64 (+.f64 a #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b (fma.f64 (+.f64 a #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b (fma.f64 (+.f64 a #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) |
#s(literal 4 binary64) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(fma.f64 a (fma.f64 a (neg.f64 a) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
a |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(fma.f64 a (neg.f64 a) a) |
(-.f64 #s(literal 1 binary64) a) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
b |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) | |
| accuracy | 0.1914204229640636 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) | |
| accuracy | 6.964804530773919 | (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) | |
| accuracy | 9.171875000000002 | (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.06869125976844202 | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| accuracy | 0.24999724760556022 | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) | |
| accuracy | 18.594608803524306 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| accuracy | 18.304916237848303 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.06640625 | (*.f64 a (*.f64 a (*.f64 a a))) | |
| accuracy | 0.11328125 | (*.f64 a (*.f64 a a)) | |
| accuracy | 36.021833889673765 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) | |
| accuracy | 0.0703125 | (*.f64 b (+.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.13671875 | (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) | |
| accuracy | 6.964804530773919 | (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) | |
| accuracy | 9.171875000000002 | (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
| 101.0ms | 240× | 0 | valid |
| 5.0ms | 7× | 2 | valid |
| 5.0ms | 9× | 1 | valid |
Compiled 455 to 46 computations (89.9% saved)
ival-add: 39.0ms (49.2% of total)ival-mult: 24.0ms (30.2% of total)ival-neg: 5.0ms (6.3% of total)ival-div: 3.0ms (3.8% of total)ival-sub: 3.0ms (3.8% of total)adjust: 2.0ms (2.5% of total)ival-pow2: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (patch (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (-.f64 #s(literal 1 binary64) a)) (patch (*.f64 a (-.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) a) (patch (-.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 a (*.f64 a a))) (patch (*.f64 a (*.f64 a (*.f64 a a))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 a a)) (patch (*.f64 a (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b #s(literal 12 binary64)) (patch (fma.f64 b b #s(literal 12 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (patch (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 3 a)) (taylor inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 3 a)) (taylor inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 3 a)) (taylor inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 b) (taylor 0 a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 b) (* a b)) (taylor 0 a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 b) (* a b)) (taylor 0 a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 b) (* a b)) (taylor 0 a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ b (* 3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ b (* 3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ b (* 3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) (taylor -inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) (taylor -inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) (taylor -inf a) (#s(alt (*.f64 b (+.f64 a #s(literal 3 binary64))) (patch (*.f64 b (+.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1.0ms | b | @ | 0 | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1.0ms | a | @ | 0 | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1.0ms | a | @ | -inf | (* a (- 1 a)) |
| 1.0ms | b | @ | inf | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1× | egg-herbie |
| 12 488× | lower-fma.f64 |
| 12 488× | lower-fma.f32 |
| 5 374× | lower-*.f64 |
| 5 374× | lower-*.f32 |
| 4 780× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 364 | 6722 |
| 1 | 1165 | 6549 |
| 2 | 4023 | 6302 |
| 0 | 8137 | 5860 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* -1 (pow a 3)) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
a |
(* a (+ 1 (* -1 a))) |
(* a (+ 1 (* -1 a))) |
(* a (+ 1 (* -1 a))) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(* (pow a 2) (- (/ 1 a) 1)) |
1 |
(+ 1 (* -1 a)) |
(+ 1 (* -1 a)) |
(+ 1 (* -1 a)) |
(* -1 a) |
(* a (- (/ 1 a) 1)) |
(* a (- (/ 1 a) 1)) |
(* a (- (/ 1 a) 1)) |
(* -1 a) |
(* -1 (* a (- 1 (/ 1 a)))) |
(* -1 (* a (- 1 (/ 1 a)))) |
(* -1 (* a (- 1 (/ 1 a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* -4 a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)) |
(+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(+ (* a (- (* -1 (* a (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(+ (* a (- (* a (- (* a (- (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (+ (* -4 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (* -4 (/ (* (pow b 2) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))))) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (- (+ 1 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 12 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* 4 (pow b 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 12 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -4 (/ (pow b 2) a)) (* 4 (/ (- 12 (* 2 (pow b 2))) a))))) (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) |
(/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (pow b 2)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* 3 b) |
(+ (* 3 b) (* a b)) |
(+ (* 3 b) (* a b)) |
(+ (* 3 b) (* a b)) |
(* a b) |
(* a (+ b (* 3 (/ b a)))) |
(* a (+ b (* 3 (/ b a)))) |
(* a (+ b (* 3 (/ b a)))) |
(* a b) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* 3 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 3 binary64)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* -1 (pow a 3)) |
(neg.f64 (*.f64 a (*.f64 a a))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))) |
(* -1 (pow a 3)) |
(neg.f64 (*.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (neg.f64 b) (*.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64))) a)) a))) |
(* (pow a 2) (- 1 a)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
a |
(* a (+ 1 (* -1 a))) |
(-.f64 a (*.f64 a a)) |
(* a (+ 1 (* -1 a))) |
(-.f64 a (*.f64 a a)) |
(* a (+ 1 (* -1 a))) |
(-.f64 a (*.f64 a a)) |
(* -1 (pow a 2)) |
(*.f64 a (neg.f64 a)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(-.f64 a (*.f64 a a)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(-.f64 a (*.f64 a a)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(-.f64 a (*.f64 a a)) |
(* -1 (pow a 2)) |
(*.f64 a (neg.f64 a)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(-.f64 a (*.f64 a a)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(-.f64 a (*.f64 a a)) |
(* (pow a 2) (- (/ 1 a) 1)) |
(-.f64 a (*.f64 a a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 a)) |
(-.f64 #s(literal 1 binary64) a) |
(+ 1 (* -1 a)) |
(-.f64 #s(literal 1 binary64) a) |
(+ 1 (* -1 a)) |
(-.f64 #s(literal 1 binary64) a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ 1 a) 1)) |
(-.f64 #s(literal 1 binary64) a) |
(* a (- (/ 1 a) 1)) |
(-.f64 #s(literal 1 binary64) a) |
(* a (- (/ 1 a) 1)) |
(-.f64 #s(literal 1 binary64) a) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (- 1 (/ 1 a)))) |
(-.f64 #s(literal 1 binary64) a) |
(* -1 (* a (- 1 (/ 1 a)))) |
(-.f64 #s(literal 1 binary64) a) |
(* -1 (* a (- 1 (/ 1 a)))) |
(-.f64 #s(literal 1 binary64) a) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
12 |
#s(literal 12 binary64) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) a) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) a) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) (neg.f64 a)) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) (neg.f64 a)) a)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(neg.f64 (*.f64 a (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(neg.f64 (*.f64 a (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(neg.f64 (*.f64 a (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))))))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/ 1 (pow b 4)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))))))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* 3 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 3 binary64)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* 3 b) |
(*.f64 b #s(literal 3 binary64)) |
(+ (* 3 b) (* a b)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+ (* 3 b) (* a b)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+ (* 3 b) (* a b)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* a b) |
(*.f64 b a) |
(* a (+ b (* 3 (/ b a)))) |
(*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 b a) b)) |
(* a (+ b (* 3 (/ b a)))) |
(*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 b a) b)) |
(* a (+ b (* 3 (/ b a)))) |
(*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 b a) b)) |
(* a b) |
(*.f64 b a) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 b a) b)) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 b a) b)) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 b a) b)) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
| 5 488× | lower-*.f32 |
| 5 474× | lower-*.f64 |
| 4 568× | lower-fma.f32 |
| 4 548× | lower-fma.f64 |
| 3 892× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 335 |
| 0 | 74 | 303 |
| 1 | 385 | 299 |
| 2 | 2917 | 299 |
| 0 | 9367 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 12 binary64)) |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(neg.f64 a) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) |
(+.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))) |
(+.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) |
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))) |
(+.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a a))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(+.f64 (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (fma.f64 b (*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))))))) |
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(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) (*.f64 #s(literal 2 binary64) (log.f64 a)))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64))) |
(pow.f64 a #s(literal 3 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64)) |
(*.f64 a (*.f64 a a)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) |
(*.f64 (*.f64 a a) a) |
(*.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a))) |
(pow.f64 a #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(*.f64 a a) |
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(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
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(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
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(+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) |
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) |
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))) |
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(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))) |
(pow.f64 b #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(*.f64 b b) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(+.f64 (*.f64 b b) #s(literal 12 binary64)) |
(+.f64 #s(literal 12 binary64) (*.f64 b b)) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(fma.f64 b b #s(literal 12 binary64)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 12 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal 12 binary64))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) (+.f64 #s(literal 144 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b #s(literal 12 binary64)))))) |
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (fma.f64 b b #s(literal -12 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))) |
(/.f64 (-.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 12 binary64) (*.f64 b b))) |
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(pow.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
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(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(+.f64 (*.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
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(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))))))) |
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(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -9 binary64)) (*.f64 b b)) (+.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b) |
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 a b)) |
(+.f64 (*.f64 a b) (*.f64 b #s(literal 3 binary64))) |
(fma.f64 a b (*.f64 b #s(literal 3 binary64))) |
(fma.f64 b a (*.f64 b #s(literal 3 binary64))) |
(fma.f64 b #s(literal 3 binary64) (*.f64 a b)) |
(fma.f64 #s(literal 3 binary64) b (*.f64 a b)) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)) (*.f64 #s(literal 27 binary64) (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 a (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 a b) (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 b b))) (*.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 b #s(literal 3 binary64)))) (-.f64 (*.f64 a b) (*.f64 b #s(literal 3 binary64)))) |
(/.f64 (*.f64 b (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a a (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 b (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 b (fma.f64 a a #s(literal -9 binary64))) (+.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 b (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) b) (fma.f64 a a (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) b) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -9 binary64)) b) (+.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) b) (-.f64 #s(literal 3 binary64) a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(*.f64 (+.f64 a #s(literal 3 binary64)) b) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) a) |
(neg.f64 a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(*.f64 a #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) a) |
Compiled 156 506 to 3 674 computations (97.7% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 916 | 15 | 1 931 |
| Fresh | 5 | 1 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 924 | 18 | 1 942 |
| Status | Accuracy | Program |
|---|---|---|
| 34.2% | (/.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) | |
| 44.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) | |
| 43.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 a #s(literal 4 binary64))) | |
| ▶ | 44.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
| ✓ | 71.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| ▶ | 47.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) |
| 53.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| ▶ | 70.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
| 70.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| ▶ | 70.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
| 70.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| 44.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| 53.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| 55.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) | |
| 44.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) | |
| 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| ✓ | 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
| ▶ | 27.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
Compiled 602 to 278 computations (53.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) | |
| cost-diff | 0 | (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) | |
| cost-diff | 192 | (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (*.f64 b (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 b (*.f64 b (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) | |
| cost-diff | 128 | (+.f64 #s(literal 4 binary64) (*.f64 a a)) | |
| cost-diff | 192 | (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
| 22 270× | lower-fma.f32 |
| 22 254× | lower-fma.f64 |
| 4 550× | lower-+.f32 |
| 4 548× | lower-+.f64 |
| 3 044× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 392 |
| 0 | 84 | 368 |
| 1 | 211 | 352 |
| 2 | 544 | 348 |
| 3 | 1363 | 348 |
| 4 | 4356 | 348 |
| 5 | 6226 | 348 |
| 0 | 8436 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
#s(literal -4 binary64) |
(+.f64 #s(literal 4 binary64) (*.f64 a a)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) |
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
a |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) |
(fma.f64 b b #s(literal -12 binary64)) |
#s(literal -12 binary64) |
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) |
#s(literal -144 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
#s(literal -4 binary64) |
(+.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 a a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) |
a |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b b #s(literal -12 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) |
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) |
(fma.f64 b b #s(literal -12 binary64)) |
#s(literal -12 binary64) |
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
#s(literal -144 binary64) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) | |
| accuracy | 0.078125 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) | |
| accuracy | 18.304916237848303 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) | |
| accuracy | 22.697871390127688 | (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) | |
| accuracy | 0.060878759768442016 | (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) | |
| accuracy | 0.0625 | (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) | |
| accuracy | 0.24999724760556022 | (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) | |
| accuracy | 18.594608803524306 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 0.03515625 | (*.f64 b (*.f64 b (*.f64 b b))) | |
| accuracy | 0.08203125 | (*.f64 b (*.f64 b b)) | |
| accuracy | 35.38240322353833 | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) | |
| accuracy | 18.304916237848303 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) | |
| accuracy | 30.190096768014232 | #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) | |
| accuracy | 0.06869125976844202 | (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) | |
| accuracy | 18.594608803524306 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
| 81.0ms | 256× | 0 | valid |
Compiled 342 to 58 computations (83% saved)
ival-mult: 31.0ms (48.7% of total)ival-add: 20.0ms (31.4% of total)ival-div: 6.0ms (9.4% of total)ival-pow2: 4.0ms (6.3% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) (patch (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 4 (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) (patch (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt 4 (taylor 0 a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (pow a 2)) (taylor 0 a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (pow a 2)) (taylor 0 a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (pow a 2)) (taylor 0 a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 a a)) (patch (+.f64 #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (pow b 4) 144) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) |
| 0.0ms | b | @ | inf | (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) |
| 0.0ms | b | @ | inf | (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) |
| 0.0ms | b | @ | 0 | (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) |
| 0.0ms | b | @ | 0 | (* b (* b b)) |
| 1× | egg-herbie |
| 20 338× | lower-fma.f64 |
| 20 338× | lower-fma.f32 |
| 4 762× | lower-*.f64 |
| 4 762× | lower-*.f32 |
| 3 434× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 4198 |
| 1 | 633 | 4062 |
| 2 | 1820 | 3934 |
| 3 | 6543 | 3780 |
| 0 | 8223 | 3425 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
4 |
(+ 4 (pow a 2)) |
(+ 4 (pow a 2)) |
(+ 4 (pow a 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(* a (+ 4 (* a (- a 4)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
1/12 |
(+ 1/12 (* -1/144 (pow b 2))) |
(+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144))) |
(+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144))) |
(/ 1 (pow b 2)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
-144 |
(- (pow b 4) 144) |
(- (pow b 4) 144) |
(- (pow b 4) 144) |
(pow b 4) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(pow b 4) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
| Outputs |
|---|
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal -4 binary64) a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal -4 binary64) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow a 2)) |
(fma.f64 a a #s(literal 4 binary64)) |
(+ 4 (pow a 2)) |
(fma.f64 a a #s(literal 4 binary64)) |
(+ 4 (pow a 2)) |
(fma.f64 a a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 a (*.f64 #s(literal 4 binary64) a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) a)))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal -4 binary64) a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal -4 binary64) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 a (*.f64 #s(literal 4 binary64) a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) a)))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a))) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* -4 a))) |
(*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(* a (+ 4 (* a (- a 4)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
(* a (+ 4 (* a (- a 4)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -4 binary64) a)) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -4 binary64) a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
12 |
#s(literal 12 binary64) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/144 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144))) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/20736 binary64) #s(literal 1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1728 binary64) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b)))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1728 binary64) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b)))) (*.f64 b b)) |
-144 |
#s(literal -144 binary64) |
(- (pow b 4) 144) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(- (pow b 4) 144) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(- (pow b 4) 144) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
| 5 770× | lower-*.f32 |
| 5 760× | lower-*.f64 |
| 5 412× | lower-fma.f32 |
| 5 396× | lower-fma.f64 |
| 3 224× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 366 |
| 0 | 84 | 333 |
| 1 | 488 | 302 |
| 2 | 3849 | 302 |
| 0 | 9597 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(+.f64 #s(literal 4 binary64) (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) |
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)) |
(*.f64 a a) |
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) |
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))) |
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) |
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(+.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))) |
(+.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(fma.f64 #s(literal -4 binary64) a (fma.f64 a a #s(literal 4 binary64))) |
(fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal -4 binary64) a)) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 a #s(literal -16 binary64)))) (*.f64 a a)) |
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 #s(literal 16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 #s(literal -4 binary64) a)) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (*.f64 a a)) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (-.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))) (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (-.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 16 binary64)))) |
(/.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))) (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))) |
(/.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) (neg.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (-.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 16 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a (+.f64 a #s(literal -4 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (-.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal 16 binary64)) (-.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (-.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a #s(literal 4 binary64)) (-.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 16 binary64))))) |
(*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) a) (fma.f64 a a #s(literal 4 binary64))))) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(+.f64 #s(literal 4 binary64) (*.f64 a a)) |
(+.f64 (*.f64 a a) #s(literal 4 binary64)) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(fma.f64 a a #s(literal 4 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) #s(literal 4 binary64)) |
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 #s(literal 16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 64 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 16 binary64))) |
(/.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 64 binary64)) (fma.f64 a (*.f64 a (*.f64 a a)) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 4 binary64) (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 64 binary64))) (neg.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 16 binary64)) (-.f64 (*.f64 a a) #s(literal 4 binary64))) |
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
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(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 #s(literal -4 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (*.f64 #s(literal -4 binary64) a) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -4 binary64) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a) a (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal -4 binary64)) a (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 b (*.f64 b b)) b) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 3/2 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) |
(*.f64 b (*.f64 b b)) |
(*.f64 (*.f64 b b) b) |
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(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) |
(exp.f64 (log.f64 (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 1 binary64))) |
(pow.f64 b #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
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(*.f64 b b) |
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(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
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(fma.f64 #s(literal -4 binary64) a (fma.f64 a a #s(literal 4 binary64))) |
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(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
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(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
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(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
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(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 20736 binary64)) (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))))) |
(*.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)))) |
Compiled 18 361 to 1 374 computations (92.5% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 791 | 12 | 803 |
| Fresh | 5 | 6 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 799 | 22 | 821 |
| Status | Accuracy | Program |
|---|---|---|
| 34.2% | (/.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) | |
| ▶ | 44.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
| ▶ | 70.9% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 44.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 b #s(literal 4 binary64))) | |
| 43.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 a #s(literal 4 binary64))) | |
| 44.0% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a))) | |
| ✓ | 44.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
| 70.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) | |
| ✓ | 71.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| 34.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))) | |
| ▶ | 70.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
| 53.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| 70.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) | |
| 70.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| 70.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| ▶ | 44.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| ▶ | 53.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 55.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a) a)) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64))))) | |
| 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| ✓ | 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
| 44.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) | |
| ✓ | 27.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
Compiled 699 to 328 computations (53.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b (*.f64 b (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) | |
| cost-diff | 0 | (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) | |
| cost-diff | 320 | (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
| 25 394× | lower-fma.f32 |
| 25 382× | lower-fma.f64 |
| 5 134× | lower-+.f32 |
| 5 132× | lower-+.f64 |
| 3 178× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 537 |
| 0 | 92 | 491 |
| 1 | 220 | 457 |
| 2 | 530 | 457 |
| 3 | 1231 | 457 |
| 4 | 3715 | 457 |
| 5 | 5736 | 457 |
| 0 | 8535 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
#s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) |
#s(literal -4 binary64) |
#s(approx (+ 4 (* a a)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(+.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
#s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) |
(fma.f64 a #s(literal -4 binary64) #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) |
#s(literal -4 binary64) |
#s(approx (+ 4 (* a a)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal -4 binary64) a) |
(+.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) | |
| accuracy | 0.08203125 | (*.f64 b (*.f64 b b)) | |
| accuracy | 0.1914204229640636 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) | |
| accuracy | 35.38240322353833 | #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) | |
| accuracy | 0 | (+.f64 #s(literal -4 binary64) a) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.06869125976844202 | (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 18.594608803524306 | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) | |
| accuracy | 0.06869125976844202 | (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| accuracy | 18.594608803524306 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| accuracy | 30.141134937688093 | #s(approx (+ 4 (* a a)) #s(literal 4 binary64)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.06869125976844202 | (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 18.594608803524306 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 30.464526027141947 | #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) | |
| accuracy | 0.078125 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) | |
| accuracy | 0.6719527007074292 | (/.f64 #s(literal 1 binary64) (*.f64 b b)) | |
| accuracy | 18.304916237848303 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) | |
| accuracy | 32.74374710899547 | #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
| 202.0ms | 256× | 0 | valid |
Compiled 420 to 61 computations (85.5% saved)
ival-mult: 66.0ms (56.9% of total)ival-add: 35.0ms (30.2% of total)ival-div: 7.0ms (6% of total)ival-sub: 2.0ms (1.7% of total)ival-pow2: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) (patch (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (patch (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (patch #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 b b)) (patch (/.f64 #s(literal 1 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 4 (* a a)) #s(literal 4 binary64)) (patch #s(approx (+ 4 (* a a)) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -4 binary64) a) (patch (+.f64 #s(literal -4 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 12 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow b 2) (+ 12 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow b 2) (+ 12 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* a (- (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (+ (* -4 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (* -4 (/ (* (pow b 2) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))))) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow a 4)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 12 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* 4 (pow b 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow a 4)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 12 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -4 (/ (pow b 2) a)) (* 4 (/ (- 12 (* 2 (pow b 2))) a))))) (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow b 4)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow b 4)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
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90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | -inf | (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) |
| 0.0ms | b | @ | 0 | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 0.0ms | a | @ | 0 | (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) |
| 0.0ms | a | @ | 0 | (+ (* a (+ -4 a)) 4) |
| 0.0ms | a | @ | 0 | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1× | egg-herbie |
| 9 894× | lower-fma.f64 |
| 9 894× | lower-fma.f32 |
| 6 162× | lower-*.f64 |
| 6 162× | lower-*.f32 |
| 5 306× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 6641 |
| 1 | 1028 | 6472 |
| 2 | 3555 | 6433 |
| 0 | 8550 | 5904 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)) |
(+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(+ (* a (- (* -1 (* a (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(+ (* a (- (* a (- (* a (- (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (+ (* -4 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (* -4 (/ (* (pow b 2) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))))) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (- (+ 1 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 12 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* 4 (pow b 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 12 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -4 (/ (pow b 2) a)) (* 4 (/ (- 12 (* 2 (pow b 2))) a))))) (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) |
(/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
1/12 |
(+ 1/12 (* -1/144 (pow b 2))) |
(+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144))) |
(+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144))) |
(/ 1 (pow b 2)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
4 |
(+ 4 (pow a 2)) |
(+ 4 (pow a 2)) |
(+ 4 (pow a 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
-4 |
(- a 4) |
(- a 4) |
(- a 4) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* a (- 1 (* 4 (/ 1 a)))) |
(* a (- 1 (* 4 (/ 1 a)))) |
a |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) a))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
12 |
#s(literal 12 binary64) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) a))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a))) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) a))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) a))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (neg.f64 a) a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) a))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
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(/ 1 (pow b 4)) |
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(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
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(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
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(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
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(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
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(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/144 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144))) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/20736 binary64) #s(literal 1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -12 binary64) (*.f64 b b)))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -12 binary64) (*.f64 b b)))) (*.f64 b b)) |
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow a 2)) |
(fma.f64 a a #s(literal 4 binary64)) |
(+ 4 (pow a 2)) |
(fma.f64 a a #s(literal 4 binary64)) |
(+ 4 (pow a 2)) |
(fma.f64 a a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 a a #s(literal 4 binary64)) |
-4 |
#s(literal -4 binary64) |
(- a 4) |
(+.f64 a #s(literal -4 binary64)) |
(- a 4) |
(+.f64 a #s(literal -4 binary64)) |
(- a 4) |
(+.f64 a #s(literal -4 binary64)) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a) |
(* a (- 1 (* 4 (/ 1 a)))) |
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a) |
(* a (- 1 (* 4 (/ 1 a)))) |
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a) |
a |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
| 6 296× | lower-*.f32 |
| 6 288× | lower-*.f64 |
| 6 074× | lower-fma.f32 |
| 6 062× | lower-fma.f64 |
| 3 278× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 512 |
| 0 | 92 | 464 |
| 1 | 526 | 406 |
| 2 | 4113 | 406 |
| 0 | 10064 | 368 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 b b) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))) |
#s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
#s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
#s(approx (+ 4 (* a a)) #s(literal 4 binary64)) |
(+.f64 #s(literal -4 binary64) a) |
(*.f64 b (*.f64 b b)) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal 1 binary64)))) |
(fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) #s(literal -1 binary64)) (fma.f64 b (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 a (*.f64 a a) #s(literal -64 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) a) (-.f64 #s(literal 16 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal 16 binary64)))) |
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) a))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) |
(*.f64 b (*.f64 b b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 (*.f64 b (*.f64 b b)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (/.f64 b #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) |
Compiled 17 551 to 1 334 computations (92.4% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 799 | 4 | 803 |
| Fresh | 4 | 9 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 804 | 21 | 825 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 44.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
| 70.9% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) | |
| 70.9% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))) | |
| ✓ | 70.9% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 70.9% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| 44.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 b #s(literal 4 binary64))) | |
| 43.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 a #s(literal 4 binary64))) | |
| 44.0% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a))) | |
| ✓ | 44.7% | #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
| 70.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b #s(literal -1 binary64))) | |
| ✓ | 71.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| 34.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))) | |
| 53.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| 70.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) | |
| 70.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| ✓ | 44.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| ✓ | 53.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| ✓ | 43.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
| 44.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) | |
| ✓ | 27.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
Compiled 1 064 to 295 computations (72.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a) a)) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
5 calls:
| 13.0ms | a |
| 12.0ms | (*.f64 b b) |
| 12.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 11.0ms | b |
| 11.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | a |
| 96.9% | 2 | b |
| 97.7% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 97.7% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 96.9% | 2 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (/.f64 b #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a) a)) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
4 calls:
| 11.0ms | b |
| 10.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 8.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 8.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | b |
| 96.8% | 2 | (*.f64 b b) |
| 79.9% | 3 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 79.9% | 3 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Compiled 68 to 40 computations (41.2% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
2 calls:
| 7.0ms | b |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | b |
| 96.8% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
2 calls:
| 7.0ms | (*.f64 b b) |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | b |
| 96.8% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
2 calls:
| 5.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | b |
| 96.8% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
2 calls:
| 6.0ms | (*.f64 b b) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 2 | b |
| 96.2% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | b |
| 96.1% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144)))) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(approx (+ 4 (* a a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) |
3 calls:
| 6.0ms | b |
| 4.0ms | a |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | a |
| 83.4% | 2 | b |
| 83.4% | 2 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) |
3 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | a |
| 71.3% | 3 | b |
| 71.3% | 3 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (/ 1 (/ (+ (* b b) -12) (+ (* (* b b) (* b b)) -144))) #s(literal 12 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
5 calls:
| 4.0ms | b |
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 2.0ms | a |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 2 | b |
| 69.6% | 2 | (*.f64 b b) |
| 57.5% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 57.5% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 69.6% | 3 | a |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 2.0ms | b |
| 1.0ms | a |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 53.4% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 53.4% | 1 | a |
| 53.4% | 1 | b |
| 53.4% | 1 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.9% | 1 | a |
| 27.9% | 1 | b |
| 27.9% | 1 | (*.f64 b b) |
| 27.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 27.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Compiled 71 to 42 computations (40.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.610899645752843e+23 | 1.3352259007101304e+33 |
Compiled 32 to 22 computations (31.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.02173030753889e+28 | 4.1089240352232386e+40 |
| 20.0ms | -5.539089704211195e+30 | -1.9195056217569416e+24 |
| 28.0ms | 304× | 0 | valid |
Compiled 452 to 269 computations (40.5% saved)
ival-mult: 10.0ms (48% of total)ival-add: 5.0ms (24% of total)ival-pow2: 3.0ms (14.4% of total)ival-sub: 2.0ms (9.6% 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 |
|---|---|---|
| 15.0ms | 1.2940878413721047e+295 | 5.412479478599102e+296 |
| 11.0ms | 112× | 0 | valid |
Compiled 172 to 113 computations (34.3% saved)
ival-mult: 4.0ms (48.8% of total)ival-add: 2.0ms (24.4% of total)ival-sub: 1.0ms (12.2% of total)ival-pow2: 1.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 1055 |
| 1 | 147 | 1055 |
| 2 | 150 | 1055 |
| 3 | 152 | 1055 |
| 4 | 153 | 1055 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 a #s(literal -1949999999999999886753792 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 51000000000000004251078098944 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(if (<=.f64 (*.f64 b b) #s(literal 520000000000000026605436156857337718639731866168476872994715920538296125471839202754565931997893339203428663373026327313041960305734467781934705102239913080554209509590071937107904140113542990920237601072357751813517558877285937067294562219896667805857574441897996081863924004943912162033898881024 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal +inf.0 binary64)) (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 #s(literal -4 binary64) a)))) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (+.f64 a #s(literal -4 binary64))))) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 (*.f64 b b) #s(literal 499999999999999991611392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))) |
(if (<=.f64 a #s(literal -1949999999999999886753792 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 51000000000000004251078098944 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(if (<=.f64 (*.f64 b b) #s(literal 520000000000000026605436156857337718639731866168476872994715920538296125471839202754565931997893339203428663373026327313041960305734467781934705102239913080554209509590071937107904140113542990920237601072357751813517558877285937067294562219896667805857574441897996081863924004943912162033898881024 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) |
| 20 338× | lower-fma.f64 |
| 20 338× | lower-fma.f32 |
| 19 992× | lower-fma.f64 |
| 19 992× | lower-fma.f32 |
| 12 488× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 366 |
| 0 | 84 | 333 |
| 1 | 488 | 302 |
| 2 | 3849 | 302 |
| 0 | 9597 | 268 |
| 0 | 45 | 335 |
| 0 | 74 | 303 |
| 1 | 385 | 299 |
| 2 | 2917 | 299 |
| 0 | 9367 | 288 |
| 0 | 364 | 6722 |
| 1 | 1165 | 6549 |
| 2 | 4023 | 6302 |
| 0 | 8137 | 5860 |
| 0 | 66 | 512 |
| 0 | 92 | 464 |
| 1 | 526 | 406 |
| 2 | 4113 | 406 |
| 0 | 10064 | 368 |
| 0 | 212 | 4198 |
| 1 | 633 | 4062 |
| 2 | 1820 | 3934 |
| 3 | 6543 | 3780 |
| 0 | 8223 | 3425 |
| 0 | 18 | 94 |
| 0 | 30 | 94 |
| 1 | 140 | 94 |
| 2 | 1251 | 94 |
| 0 | 8299 | 81 |
| 0 | 191 | 2222 |
| 1 | 599 | 2169 |
| 2 | 1845 | 2105 |
| 3 | 5761 | 2012 |
| 0 | 8475 | 1830 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 794 to 352 computations (55.7% saved)
(abs b)
Compiled 858 to 238 computations (72.3% saved)
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