
Time bar (total: 8.1s)
| 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)
| 963.0ms | 8 256× | 0 | valid |
ival-mult: 295.0ms (43.7% of total)ival-add: 165.0ms (24.5% of total)ival-pow2: 107.0ms (15.9% of total)ival-sub: 86.0ms (12.7% of total)exact: 12.0ms (1.8% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 45 | 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))))) |
| 38 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 18 | 0 | - | 3 | (1.287770953136513e+166 8.489313993829654e-160) | (*.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 | 45 | 0 |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 152 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 103 | |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (*.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 | 124 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 124 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 80 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 82 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 38 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 82 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 80 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 68 | 0 |
| - | 0 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 68 | 0 | 0 |
| - | 0 | 0 | 188 |
| number | freq |
|---|---|
| 0 | 188 |
| 1 | 53 |
| 2 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 512× | 0 | valid |
Compiled 441 to 76 computations (82.8% saved)
ival-mult: 16.0ms (43.6% of total)ival-add: 9.0ms (24.5% of total)ival-sub: 5.0ms (13.6% of total)ival-pow2: 5.0ms (13.6% of total)ival-true: 1.0ms (2.7% of total)exact: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 29 to 18 computations (37.9% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.3% | (-.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 29 to 18 computations (37.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.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))))) |
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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 3.164382392925186 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 8.335906537453088 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| accuracy | 8.972656250000002 | (+.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))))) |
| 49.0ms | 256× | 0 | valid |
Compiled 274 to 38 computations (86.1% saved)
ival-mult: 28.0ms (73.1% of total)ival-add: 5.0ms (13.1% of total)ival-pow2: 3.0ms (7.8% of total)ival-sub: 2.0ms (5.2% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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 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 (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 (*.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 (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#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 (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#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 (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#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 (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#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 (pow a 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 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) (- 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 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>) () ())) ()) |
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#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 (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 (* 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 (pow a 4) (taylor inf a) (#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 (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#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 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#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 (* (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 (+.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 (pow a 2) (taylor inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<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 (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 (* 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 (pow a 4) (taylor -inf a) (#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 (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#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 (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#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 (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#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 (pow a 2) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<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 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 (* 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 2.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 1598 |
| 1 | 564 | 1573 |
| 2 | 1722 | 1533 |
| 3 | 5129 | 1478 |
| 4 | 7247 | 1478 |
| 0 | 8272 | 1357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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 a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(* (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 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 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(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 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) (+ 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 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 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(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 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) (+ 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 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 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(+ (* 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 b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (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)))) |
(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)) |
(* 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))) |
(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 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)))) |
(* -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)) |
(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))))) |
(* 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))) |
(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)))) |
(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)))) |
(* -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 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))))) |
(* 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 |
|---|
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(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 a 2) (- 1 a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 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))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 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))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(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) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 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))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 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))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(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) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (pow.f64 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 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(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)) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(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)) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(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)) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 28 | 65 |
| 1 | 123 | 65 |
| 2 | 1061 | 65 |
| 0 | 8481 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 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))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
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Compiled 32 704 to 2 453 computations (92.5% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 8 | 571 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 564 | 8 | 572 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.7% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) |
| ▶ | 98.7% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| ▶ | 64.6% | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) |
| ▶ | 71.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 68.1% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 68.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 71.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
| 69.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
Compiled 256 to 196 computations (23.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) | |
| cost-diff | 0 | (pow.f64 b #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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))))) | |
| cost-diff | 6080 | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 696 |
| 0 | 89 | 696 |
| 1 | 154 | 696 |
| 2 | 320 | 696 |
| 3 | 910 | 696 |
| 4 | 2208 | 696 |
| 5 | 3497 | 696 |
| 6 | 6645 | 696 |
| 0 | 8144 | 655 |
| 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) |
b |
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) |
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
b |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a a) |
a |
#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 b b) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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))))) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(*.f64 (-.f64 #s(literal 1 binary64) a) a) |
(-.f64 #s(literal 1 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
b |
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)))) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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))))) |
(fma.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a))) #s(literal -4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b) |
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) |
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) |
b |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(*.f64 a a) |
a |
#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 a #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a))) #s(literal -4 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))) |
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(*.f64 b b) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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))))) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) |
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))) |
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(*.f64 (-.f64 #s(literal 1 binary64) a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) | |
| accuracy | 0.125 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 8.972656250000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) | |
| accuracy | 30.76726127094697 | #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) | |
| accuracy | 0 | (pow.f64 b #s(literal 4 binary64)) | |
| accuracy | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| accuracy | 29.821421577923623 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 3.164382392925186 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 8.335906537453088 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| accuracy | 8.972656250000002 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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))))) | |
| accuracy | 17.699930874500346 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) | |
| accuracy | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) | |
| accuracy | 22.958868253994194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) | |
| accuracy | 0.125 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 0.1640625 | (*.f64 #s(literal 3 binary64) (*.f64 b b)) | |
| accuracy | 8.972656250000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) | |
| accuracy | 31.50918844841207 | #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
| 77.0ms | 241× | 0 | valid |
| 5.0ms | 11× | 1 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 1 022 to 78 computations (92.4% saved)
ival-add: 24.0ms (39.8% of total)ival-mult: 23.0ms (38.1% of total)ival-pow: 5.0ms (8.3% of total)ival-sub: 3.0ms (5% of total)ival-pow2: 3.0ms (5% of total)adjust: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<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 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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))))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #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))))) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 3 binary64) (*.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>) () ()) |
#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.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))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.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))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.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))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 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 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 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<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 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<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 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<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 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 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>) () ())) ()) |
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #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))))) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 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))))) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #<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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #<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 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #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 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #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 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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>) () ())) ()) |
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#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 (pow a 3)) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* b b) (+ 3 a)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* (- 1 a) a) a)) |
| 3.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* b b) (+ 3 a)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* (- 1 a) a) a)) |
| 3.0ms | b | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* b b) (+ 3 a)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* (- 1 a) a) a)) |
| 2.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* b b) (+ 3 a)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* (- 1 a) a) a)) |
| 2.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* b b) (+ 3 a)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* (- 1 a) a) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 9014 |
| 1 | 790 | 8777 |
| 2 | 2399 | 8513 |
| 3 | 7233 | 8194 |
| 0 | 8253 | 7436 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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 a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 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 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)) |
(- (+ (* 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) |
(+ (* 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 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(- (+ (* 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) |
(+ (* 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 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)) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(- (+ (* 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) |
(+ (* 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) |
(pow b 4) |
(pow b 4) |
(+ (* 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))) |
(- (+ (* 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 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))) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* (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 b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 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 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 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 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))))) |
(* (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))) (* 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))))))) |
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(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))))))) |
(* (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))))) |
(* (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 b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(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))))))) |
(* (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) |
(pow b 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))))))) |
(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) (+ 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))))) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* 3 (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 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 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 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 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))))) |
(* (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))) (* 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))))))) |
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 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))))))) |
(* (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))))) |
(* (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 b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(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))))))) |
(* (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) |
(pow b 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))))))) |
(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) (+ 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))))) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* 3 (pow b 2)) |
(* 3 (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 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))))) |
(+ (* 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 b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (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 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)) |
(- (+ (* 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) |
(+ (* 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 b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* 4 (* a b)) (* b (+ 12 (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) |
(+ (* 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 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 b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (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) |
(+ (* 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))) |
(+ (* 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))) |
(- (+ (* 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) |
(* 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)))) |
(* 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)))) |
(* 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))) |
(* 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)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 a))) |
(* (pow a 2) (+ 1 (* -1 a))) |
(* (pow a 2) (+ 1 (* -1 a))) |
(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 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 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 (* 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 (* 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 (+ (* 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)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(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 (+ (* 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 (* 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))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(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 (+ (* 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 (+ (* 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 (+ (* 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)))) |
(* -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)) |
(* (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)) |
(* 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))) |
(* -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)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(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)))) |
(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 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)))) |
(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 (* 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)))) |
(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 (* a (pow b 2))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* 4 (* a b)) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) 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)))) |
(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)))) |
(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))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(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)))) |
(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)))) |
(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)))) |
(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)))) |
(* -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))))) |
(* -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))))) |
(* 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))))) |
(* -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))))) |
(* -1 (pow a 3)) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
| Outputs |
|---|
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(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)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(* b (+ 12 (* 4 a))) |
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (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))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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 b 2)))) (pow a 4))) 1) |
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(* (pow a 2) (- 1 a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
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(* 3 (pow b 2)) |
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(* 3 (pow b 2)) |
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(* (pow a 2) (- 1 a)) |
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(* (pow a 2) (- 1 a)) |
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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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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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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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(* (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) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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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))))))) |
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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))))))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
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(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
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(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
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(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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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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(* (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) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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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))))))) |
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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))))))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
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(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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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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(* (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) |
(pow.f64 b #s(literal 4 binary64)) |
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(pow b 4) |
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(pow b 4) |
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(pow b 4) |
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(pow b 4) |
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(pow b 4) |
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(pow b 4) |
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(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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(* (pow b 2) (+ 3 a)) |
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(pow b 2) |
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(pow b 4) |
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(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
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(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
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(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
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(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
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(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
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(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #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 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #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 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
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(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
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(fma.f64 (*.f64 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (pow.f64 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 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #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 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #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 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* -1 a))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* (pow a 2) (+ 1 (* -1 a))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* (pow a 2) (+ 1 (* -1 a))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(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 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b b)) a) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b b)) a) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b b)) a) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
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(pow a 4) |
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(pow a 4) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) b (*.f64 (neg.f64 b) b)) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) b (*.f64 (neg.f64 b) b)) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 517 |
| 0 | 89 | 517 |
| 1 | 340 | 517 |
| 2 | 2771 | 517 |
| 0 | 8753 | 468 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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))))) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(*.f64 #s(literal 3 binary64) (*.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)) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
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Compiled 40 078 to 2 524 computations (93.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 127 | 12 | 1 139 |
| Fresh | 3 | 0 | 3 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 135 | 12 | 1 147 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64)) | |
| ▶ | 84.1% | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| ▶ | 71.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) |
| ▶ | 69.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
| 41.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) | |
| 78.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) | |
| ▶ | 96.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
| ▶ | 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
| 69.3% | #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 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| 46.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 42.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 43.0% | #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 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) |
Compiled 346 to 266 computations (23.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) | |
| cost-diff | 832 | (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) | |
| cost-diff | -5504 | (*.f64 (*.f64 b b) (*.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))))) (*.f64 (*.f64 b b) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) | |
| cost-diff | 192 | (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 706 |
| 0 | 93 | 706 |
| 1 | 190 | 696 |
| 2 | 435 | 690 |
| 3 | 1119 | 686 |
| 4 | 3234 | 686 |
| 5 | 4731 | 676 |
| 0 | 8312 | 635 |
| 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 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 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
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 (*.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))))) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) |
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) |
(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) |
(+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) |
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
b |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 b b) |
#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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) |
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 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 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
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 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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))))) (*.f64 (*.f64 b b) (*.f64 b b))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow.f64 b #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)) b) |
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) |
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) |
(+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64))) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b) |
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) |
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) |
b |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 b b) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.4360254067401934 | (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) | |
| accuracy | 8.972656250000002 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) | |
| accuracy | 17.699930874500346 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) | |
| accuracy | 31.50918844841207 | #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) | |
| accuracy | 0.11328125 | (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) | |
| accuracy | 3.1155245914627248 | (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) | |
| accuracy | 4.469508807875467 | (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) | |
| accuracy | 22.958868253994194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) | |
| accuracy | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 0.125 | (*.f64 (*.f64 b b) (*.f64 b b)) | |
| accuracy | 29.821421577923623 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) | |
| accuracy | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| accuracy | 17.930373616101555 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| accuracy | 2.0234375000000004 | (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 106.0ms | 222× | 0 | valid |
| 9.0ms | 9× | 3 | valid |
| 9.0ms | 14× | 1 | valid |
| 7.0ms | 8× | 2 | valid |
| 4.0ms | 3× | 4 | valid |
Compiled 946 to 94 computations (90.1% saved)
ival-mult: 72.0ms (66.8% of total)ival-add: 20.0ms (18.5% of total)adjust: 7.0ms (6.5% of total)ival-sub: 3.0ms (2.8% of total)ival-pow2: 3.0ms (2.8% of total)ival-div: 2.0ms (1.9% of total)exact: 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 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) (patch (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (patch (*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) (patch (*.f64 (fma.f64 b b #s(literal 12 binary64)) 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.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))))) (*.f64 (*.f64 b b) (*.f64 b b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 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)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) 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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) 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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 12 (pow b 2)) (pow b 4)) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b 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))) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b 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))) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 12 (pow b 2)) (pow b 4)) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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))) (taylor 0 a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 12 (pow b 2))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 12 (pow b 2)) (pow b 4)) (taylor 0 a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) (taylor 0 a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (pow a 4) (taylor -inf a) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.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 (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.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 (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<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 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<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 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<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 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | -inf | ((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) |
| 6.0ms | b | @ | inf | ((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) |
| 4.0ms | b | @ | 0 | ((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) |
| 3.0ms | a | @ | -inf | ((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) |
| 2.0ms | a | @ | inf | ((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 7809 |
| 1 | 1020 | 7551 |
| 2 | 3137 | 7306 |
| 0 | 8153 | 6657 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 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 a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(- (+ (* 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) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(* 12 b) |
(* b (+ 12 (pow b 2))) |
(* b (+ 12 (pow b 2))) |
(* b (+ 12 (pow b 2))) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(- (+ (* 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) |
(+ (* 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 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(* a (* b (+ 4 (* 12 (/ 1 a))))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(- (+ (* 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) |
(+ (* 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 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(+ (* 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))) |
(- (+ (* 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 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)) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) |
(/ 12 a) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) 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 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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (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) (+ 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 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 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))))) |
(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))))))) |
(* (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 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 3) |
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))) |
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))) |
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))) |
(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))))))) |
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(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)))))) (/ 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))))) |
(* (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 b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 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 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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (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) (+ 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 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 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))))) |
(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))))))) |
(* (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 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 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))))))) |
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(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)))))) (/ 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))))) |
(* (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 b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 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))))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(+ 4 (* -4 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 b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* 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) |
(- (+ (* 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) |
(+ (* 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))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* 4 (* a b)) (* b (+ 12 (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) |
(+ (* 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 b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 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))) |
(- (+ (* 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 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 b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (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 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(* 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)))) |
(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)))) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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)))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(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 (+ (* 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)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(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 (+ (* 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 (* 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))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(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 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(* -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)) |
(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 a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 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)))) |
(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)))) |
(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)))) |
(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)))) |
(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 (* a b)) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) 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)))) |
(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 (* a (pow b 2))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) 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)))) |
(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)))) |
(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))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(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) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(* -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))))) |
| Outputs |
|---|
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(* 12 b) |
(*.f64 #s(literal 12 binary64) b) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) 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)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.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 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* a (* b (+ 4 (* 12 (/ 1 a))))) |
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
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(pow b 2) |
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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))))))) |
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(pow b 4) |
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(pow b 4) |
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(pow b 2) |
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(pow b 4) |
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(pow b 4) |
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(pow b 4) |
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(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 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) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (*.f64 a a) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #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)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 b b) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 (/.f64 #s(literal -4 binary64) a) a a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a)) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 4 binary64)) b) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(*.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(*.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 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) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 556 |
| 0 | 93 | 550 |
| 1 | 435 | 541 |
| 2 | 3783 | 541 |
| 0 | 9987 | 503 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) |
(*.f64 (-.f64 #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.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))))) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 b b) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
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Compiled 31 658 to 2 434 computations (92.3% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 966 | 11 | 977 |
| Fresh | 3 | 4 | 7 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 974 | 15 | 989 |
| Status | Accuracy | Program |
|---|---|---|
| 69.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) | |
| ▶ | 69.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
| 41.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) | |
| ▶ | 69.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
| 71.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) | |
| 80.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a #s(literal -1 binary64))))) | |
| ▶ | 94.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) |
| 80.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64)))) | |
| ▶ | 71.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) 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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| 46.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 42.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 43.0% | #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 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) | |
| 53.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) | |
| ▶ | 27.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
Compiled 376 to 296 computations (21.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) | |
| cost-diff | 832 | (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) | |
| cost-diff | 320 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| cost-diff | 0 | #s(approx (+ (* b b) 12) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* b b) 12) b) b) -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) 12) b) b) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 606 |
| 0 | 84 | 602 |
| 1 | 165 | 598 |
| 2 | 382 | 598 |
| 3 | 1016 | 591 |
| 4 | 2895 | 591 |
| 5 | 4273 | 581 |
| 0 | 8135 | 545 |
| 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* a a) (* (- 1 a) 4)) (*.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) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) |
#s(approx (+ (* b b) 12) (*.f64 b b)) |
(*.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) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) |
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) |
(*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) |
(+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) |
(/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) |
#s(approx (+ (* b b) 12) (*.f64 b b)) |
(*.f64 b b) |
b |
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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 b b) (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* a a) (* (- 1 a) 4)) (*.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) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) |
#s(approx (+ (* b b) 12) (*.f64 b b)) |
(*.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) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a 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 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(approx (+ (* b b) 12) (*.f64 b b))) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(approx (+ (* b b) 12) (*.f64 b b))) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(approx (+ (* b b) 12) (*.f64 b b))) b)) b) |
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) |
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(approx (+ (* b b) 12) (*.f64 b b))) b)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(approx (+ (* b b) 12) (*.f64 b b))) b) |
(*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) |
(+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) |
(/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) |
#s(approx (+ (* b b) 12) (*.f64 b b)) |
(*.f64 b b) |
b |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1155245914627248 | (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) | |
| accuracy | 4.469508807875467 | (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) | |
| accuracy | 22.958868253994194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) | |
| accuracy | 30.892240536867963 | #s(approx (+ (* b b) 12) (*.f64 b b)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| accuracy | 0.08203125 | (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) | |
| accuracy | 19.611537751017455 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) | |
| accuracy | 17.930373616101555 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) | |
| accuracy | 30.892240536867963 | #s(approx (+ (* b b) 12) (*.f64 b b)) | |
| accuracy | 17.930373616101555 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) | |
| accuracy | 31.9587662033635 | #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) | |
| accuracy | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) | |
| accuracy | 2.0234375000000004 | (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) | |
| accuracy | 32.047039091538 | #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) |
| 133.0ms | 222× | 0 | valid |
| 9.0ms | 9× | 3 | valid |
| 8.0ms | 14× | 1 | valid |
| 6.0ms | 8× | 2 | valid |
| 4.0ms | 3× | 4 | valid |
Compiled 700 to 82 computations (88.3% saved)
ival-mult: 77.0ms (55.9% of total)ival-pow2: 28.0ms (20.3% of total)ival-add: 20.0ms (14.5% of total)adjust: 7.0ms (5.1% of total)ival-sub: 3.0ms (2.2% of total)ival-div: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (patch (fma.f64 #s(literal 2 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -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) 12) b) b) -1) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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 #s(approx (+ (* b b) 12) (*.f64 b b)) 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) (patch (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* b b) 12) (*.f64 b b)) (patch #s(approx (+ (* b b) 12) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) a) #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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) a) (patch (-.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) (patch (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #<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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) 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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) 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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) (patch (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) (patch (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) (patch (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) (patch (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (+ (* 2 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (- 1 a) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* (- 1 a) 4)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a)) |
| 2.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (+ (* 2 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (- 1 a) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* (- 1 a) 4)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a)) |
| 2.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (+ (* 2 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (- 1 a) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* (- 1 a) 4)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a)) |
| 2.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (+ (* 2 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (- 1 a) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* (- 1 a) 4)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a)) |
| 2.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1)) (+ (* a (+ (* 2 a) 4)) (+ (* b b) 12)) (+ (* 2 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (- 1 a) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* (- 1 a) 4)) (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) (* a a) (/ (+ (* b b) 12) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 6332 |
| 1 | 866 | 6120 |
| 2 | 2664 | 5871 |
| 3 | 7605 | 5864 |
| 0 | 8184 | 5306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 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 a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(- (+ (* 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) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 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) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(* 12 b) |
(* b (+ 12 (pow b 2))) |
(* b (+ 12 (pow b 2))) |
(* b (+ 12 (pow b 2))) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(- (+ (* 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) |
(* a (* b (+ 4 (* 12 (/ 1 a))))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(- (+ (* 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) |
(+ (* 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 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(/ 12 a) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(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 (* 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 (+ (* 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 (* 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 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 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))))) |
(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 3) |
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))) |
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))) |
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))) |
(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))))))) |
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(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 (* 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 (+ (* 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 (* 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 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 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))))) |
(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 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 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))))))) |
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (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 b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
4 |
(+ 4 (* 2 a)) |
(+ 4 (* 2 a)) |
(+ 4 (* 2 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) |
(- (+ (* 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) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 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) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
1 |
(+ 1 (* -1 a)) |
(+ 1 (* -1 a)) |
(+ 1 (* -1 a)) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* 4 (* a b)) (* b (+ 12 (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) |
(+ (* 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 b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(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 (+ (* 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)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* 2 a) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(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 (+ (* 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 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 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 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* -1 a) |
(* a (- (/ 1 a) 1)) |
(* a (- (/ 1 a) 1)) |
(* a (- (/ 1 a) 1)) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(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 (+ (* 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)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(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 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 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) 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)))) |
(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)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* 2 a) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(* 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)))) |
(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)))) |
(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)))) |
(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)))) |
(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)))) |
(* -1 a) |
(* -1 (* a (- 1 (/ 1 a)))) |
(* -1 (* a (- 1 (/ 1 a)))) |
(* -1 (* a (- 1 (/ 1 a)))) |
(* 4 (* a b)) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) 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)))) |
(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 (* a (pow b 2))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) 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)))) |
(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) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
(/ (+ 12 (pow b 2)) a) |
| Outputs |
|---|
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(* 12 b) |
(*.f64 #s(literal 12 binary64) b) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) 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)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(* a (* b (+ 4 (* 12 (/ 1 a))))) |
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b) |
(/ 12 a) |
(/.f64 #s(literal 12 binary64) a) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 12 binary64))) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 12 binary64))) |
(+ (* 12 (/ 1 a)) (/ (pow b 2) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 12 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 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 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 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 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 2) |
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(pow b 4) |
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(pow b 2) |
(*.f64 b b) |
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(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(pow b 4) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
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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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(* (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) |
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(pow b 4) |
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(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 a)) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(+ 4 (* 2 a)) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(+ 4 (* 2 a)) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
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(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a #s(literal -1 binary64))) |
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 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b #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 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a #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 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) a #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
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) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b #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 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a #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 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a #s(literal -1 binary64))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) 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 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) a #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #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) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (+.f64 (/.f64 (/.f64 #s(literal 12 binary64) a) a) #s(literal 2 binary64))) a #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (+.f64 (/.f64 (/.f64 #s(literal 12 binary64) a) a) #s(literal 2 binary64))) a #s(literal 4 binary64)) a) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (*.f64 a a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* -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) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) b) a) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) b) a) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) b) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 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 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 4 binary64)) b) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (*.f64 a a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 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) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(* a (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -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) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) b) a) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) b) a) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) b) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.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.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 4 binary64)) b) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (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)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 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) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
(/ (+ 12 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 511 |
| 0 | 84 | 507 |
| 1 | 398 | 504 |
| 2 | 3487 | 504 |
| 0 | 8917 | 475 |
| 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) b) |
#s(approx (+ (* b b) 12) (*.f64 b b)) |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) a) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b) |
#s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) |
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 a a) |
(/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) |
| Outputs |
|---|
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Compiled 30 991 to 2 477 computations (92% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 883 | 7 | 890 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 887 | 18 | 905 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
| 71.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) | |
| 80.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a #s(literal -1 binary64))))) | |
| 80.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64)))) | |
| 94.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a #s(approx (+ (* 2 a) 4) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) | |
| 69.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a #s(literal -1 binary64))) | |
| ✓ | 71.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) 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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| 71.7% | #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) (*.f64 b b)) #s(literal -1 binary64))) | |
| 69.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) | |
| 41.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) | |
| 68.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) | |
| 50.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| 46.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 42.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 43.0% | #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 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) | |
| 53.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) | |
| ✓ | 27.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
Compiled 793 to 337 computations (57.5% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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 (fma.f64 a #s(approx (+ (* 2 a) 4) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a #s(literal -1 binary64))))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
5 calls:
| 12.0ms | (*.f64 b b) |
| 11.0ms | a |
| 11.0ms | b |
| 10.0ms | (+.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))))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | a |
| 98.7% | 1 | b |
| 98.7% | 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)) |
| 98.7% | 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))))) |
| 98.7% | 1 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) 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 (fma.f64 a #s(approx (+ (* 2 a) 4) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.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 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a #s(literal -1 binary64))))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) 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) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a #s(approx (+ (* 2 a) 4) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) |
5 calls:
| 26.0ms | b |
| 11.0ms | a |
| 10.0ms | (+.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))))) |
| 9.0ms | (*.f64 b b) |
| 8.0ms | (-.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | a |
| 96.0% | 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)) |
| 96.0% | 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))))) |
| 99.9% | 2 | b |
| 99.9% | 2 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 #s(approx (+ (* b b) 12) (*.f64 b b)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #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 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64)))) |
3 calls:
| 7.0ms | b |
| 7.0ms | a |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | a |
| 97.9% | 2 | b |
| 97.9% | 2 | (*.f64 b b) |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (*.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) |
4 calls:
| 7.0ms | b |
| 6.0ms | (+.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))))) |
| 5.0ms | (*.f64 b b) |
| 5.0ms | (-.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 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)) |
| 82.8% | 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))))) |
| 95.9% | 2 | b |
| 95.9% | 2 | (*.f64 b b) |
Compiled 60 to 40 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (*.f64 (-.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) |
2 calls:
| 5.0ms | (*.f64 b b) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 2 | b |
| 95.9% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.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 #s(approx (+ (* b b) 12) (*.f64 b 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) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | b |
| 94.7% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64))) |
2 calls:
| 3.0ms | b |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | b |
| 94.7% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
3 calls:
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 3 | a |
| 83.4% | 2 | b |
| 83.4% | 2 | (*.f64 b b) |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #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 #s(approx (+ (* (- 1 a) 4) (* a a)) #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) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
5 calls:
| 2.0ms | 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 b b) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 3 | a |
| 60.4% | 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)) |
| 60.4% | 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))))) |
| 68.4% | 2 | b |
| 68.4% | 2 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #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) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #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 | a |
| 2.0ms | b |
| 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)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 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)) |
| 53.5% | 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))))) |
| 53.5% | 1 | a |
| 53.5% | 1 | b |
| 53.5% | 1 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% 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) 12) b) b) -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) 12) b) b) -1) #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))))) |
| 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 | b |
| 1.0ms | a |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.0% | 1 | a |
| 27.0% | 1 | b |
| 27.0% | 1 | (*.f64 b b) |
| 27.0% | 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)) |
| 27.0% | 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 61 to 42 computations (31.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.420889706925492e-19 | 0.011937900125131478 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.420889706925492e-19 | 0.011937900125131478 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.992285717969468e+47 | 4.105058499589966e+50 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.992285717969468e+47 | 4.105058499589966e+50 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.992285717969468e+47 | 4.105058499589966e+50 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.992285717969468e+47 | 4.105058499589966e+50 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.607723520316697e+281 | +inf |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.607723520316697e+281 | +inf |
Compiled 30 to 22 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 944 |
| 1 | 110 | 944 |
| 2 | 119 | 944 |
| 3 | 128 | 944 |
| 4 | 130 | 944 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a #s(approx (+ (* 2 a) 4) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 500000000000000016391122991431049124285352641510746782131666788720471301598687167963967189336205896526908748790912075409350817338455347847996995550646521260562389402122810032907636636177574798245164274456255150314546300696222417826065474282413002311039392838405427552850632350105600 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 500000000000000016391122991431049124285352641510746782131666788720471301598687167963967189336205896526908748790912075409350817338455347847996995550646521260562389402122810032907636636177574798245164274456255150314546300696222417826065474282413002311039392838405427552850632350105600 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a #s(approx (+ (* 2 a) 4) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (*.f64 a a)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* (- 1 a) 4))) -1) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 #s(approx (+ (* b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 500000000000000016391122991431049124285352641510746782131666788720471301598687167963967189336205896526908748790912075409350817338455347847996995550646521260562389402122810032907636636177574798245164274456255150314546300696222417826065474282413002311039392838405427552850632350105600 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 500000000000000016391122991431049124285352641510746782131666788720471301598687167963967189336205896526908748790912075409350817338455347847996995550646521260562389402122810032907636636177574798245164274456255150314546300696222417826065474282413002311039392838405427552850632350105600 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) #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) 12) b) b) -1) (fma.f64 #s(literal 12 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 #s(literal 12 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) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 6332 |
| 1 | 866 | 6120 |
| 2 | 2664 | 5871 |
| 3 | 7605 | 5864 |
| 0 | 8184 | 5306 |
| 0 | 57 | 511 |
| 0 | 84 | 507 |
| 1 | 398 | 504 |
| 2 | 3487 | 504 |
| 0 | 8917 | 475 |
| 0 | 321 | 7809 |
| 1 | 1020 | 7551 |
| 2 | 3137 | 7306 |
| 0 | 8153 | 6657 |
| 0 | 181 | 1598 |
| 1 | 564 | 1573 |
| 2 | 1722 | 1533 |
| 3 | 5129 | 1478 |
| 4 | 7247 | 1478 |
| 0 | 8272 | 1357 |
| 0 | 241 | 9014 |
| 1 | 790 | 8777 |
| 2 | 2399 | 8513 |
| 3 | 7233 | 8194 |
| 0 | 8253 | 7436 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 883 to 572 computations (35.2% saved)
(abs b)
Compiled 772 to 278 computations (64% saved)
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